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Finding the Third Proportional to 136,209,564,333 and 318,247,014,619.50

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Solution

The third proportional to 136,209,564,333 and 318,247,014,619.50 is: 743,568,653,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,209,564,333 : 318,247,014,619.50 = 318,247,014,619.50 : x
  2. Step 2: Convert to fraction form
    136,209,564,333/318,247,014,619.50 = 318,247,014,619.50/x
  3. Step 3: Cross multiply
    136,209,564,333x = 318,247,014,619.50 × 318,247,014,619.50
  4. Step 4: Simplify right side
    136,209,564,333x = 101,281,162,314,224,244,883,456
  5. Step 5: Solve for x
    x = 101,281,162,314,224,244,883,456/136,209,564,333
  6. Step 6: Final answer
    x = 743,568,653,274.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.