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Finding the Third Proportional to 425,192 and 658,328

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Solution

The third proportional to 425,192 and 658,328 is: 1,019,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,192 : 658,328 = 658,328 : x
  2. Step 2: Convert to fraction form
    425,192/658,328 = 658,328/x
  3. Step 3: Cross multiply
    425,192x = 658,328 × 658,328
  4. Step 4: Simplify right side
    425,192x = 433,395,755,584
  5. Step 5: Solve for x
    x = 433,395,755,584/425,192
  6. Step 6: Final answer
    x = 1,019,294.24

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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.