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Finding the Third Proportional to 318,472 and 481,292

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Solution

The third proportional to 318,472 and 481,292 is: 727,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,472 : 481,292 = 481,292 : x
  2. Step 2: Convert to fraction form
    318,472/481,292 = 481,292/x
  3. Step 3: Cross multiply
    318,472x = 481,292 × 481,292
  4. Step 4: Simplify right side
    318,472x = 231,641,989,264
  5. Step 5: Solve for x
    x = 231,641,989,264/318,472
  6. Step 6: Final answer
    x = 727,354.33

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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.