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Finding the Third Proportional to 424,481 and 642,188

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Solution

The third proportional to 424,481 and 642,188 is: 971,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,481 : 642,188 = 642,188 : x
  2. Step 2: Convert to fraction form
    424,481/642,188 = 642,188/x
  3. Step 3: Cross multiply
    424,481x = 642,188 × 642,188
  4. Step 4: Simplify right side
    424,481x = 412,405,427,344
  5. Step 5: Solve for x
    x = 412,405,427,344/424,481
  6. Step 6: Final answer
    x = 971,552.15

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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.