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Finding the Third Proportional to 136,209,564,330 and 318,247,014,612

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Solution

The third proportional to 136,209,564,330 and 318,247,014,612 is: 743,568,653,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,209,564,330 : 318,247,014,612 = 318,247,014,612 : x
  2. Step 2: Convert to fraction form
    136,209,564,330/318,247,014,612 = 318,247,014,612/x
  3. Step 3: Cross multiply
    136,209,564,330x = 318,247,014,612 × 318,247,014,612
  4. Step 4: Simplify right side
    136,209,564,330x = 101,281,162,309,450,539,728,896
  5. Step 5: Solve for x
    x = 101,281,162,309,450,539,728,896/136,209,564,330
  6. Step 6: Final answer
    x = 743,568,653,256.04

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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.