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Finding the Third Proportional to 425,433 and 658,663

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Solution

The third proportional to 425,433 and 658,663 is: 1,019,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,433 : 658,663 = 658,663 : x
  2. Step 2: Convert to fraction form
    425,433/658,663 = 658,663/x
  3. Step 3: Cross multiply
    425,433x = 658,663 × 658,663
  4. Step 4: Simplify right side
    425,433x = 433,836,947,569
  5. Step 5: Solve for x
    x = 433,836,947,569/425,433
  6. Step 6: Final answer
    x = 1,019,753.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.