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Finding the Third Proportional to 4,780,300.50 and 11,198,423.25

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Solution

The third proportional to 4,780,300.50 and 11,198,423.25 is: 26,233,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780,300.50 : 11,198,423.25 = 11,198,423.25 : x
  2. Step 2: Convert to fraction form
    4,780,300.50/11,198,423.25 = 11,198,423.25/x
  3. Step 3: Cross multiply
    4,780,300.50x = 11,198,423.25 × 11,198,423.25
  4. Step 4: Simplify right side
    4,780,300.50x = 125,404,683,286,140.56
  5. Step 5: Solve for x
    x = 125,404,683,286,140.56/4,780,300.50
  6. Step 6: Final answer
    x = 26,233,640.18

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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.