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Finding the Third Proportional to 342,535.50 and 743,428.13

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Solution

The third proportional to 342,535.50 and 743,428.13 is: 1,613,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,535.50 : 743,428.13 = 743,428.13 : x
  2. Step 2: Convert to fraction form
    342,535.50/743,428.13 = 743,428.13/x
  3. Step 3: Cross multiply
    342,535.50x = 743,428.13 × 743,428.13
  4. Step 4: Simplify right side
    342,535.50x = 552,685,377,041.02
  5. Step 5: Solve for x
    x = 552,685,377,041.02/342,535.50
  6. Step 6: Final answer
    x = 1,613,512.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.