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Finding the Third Proportional to 424,758 and 642,578

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Solution

The third proportional to 424,758 and 642,578 is: 972,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,758 : 642,578 = 642,578 : x
  2. Step 2: Convert to fraction form
    424,758/642,578 = 642,578/x
  3. Step 3: Cross multiply
    424,758x = 642,578 × 642,578
  4. Step 4: Simplify right side
    424,758x = 412,906,486,084
  5. Step 5: Solve for x
    x = 412,906,486,084/424,758
  6. Step 6: Final answer
    x = 972,098.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.