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Finding the Third Proportional to 425,721 and 654,558

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Solution

The third proportional to 425,721 and 654,558 is: 1,006,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,721 : 654,558 = 654,558 : x
  2. Step 2: Convert to fraction form
    425,721/654,558 = 654,558/x
  3. Step 3: Cross multiply
    425,721x = 654,558 × 654,558
  4. Step 4: Simplify right side
    425,721x = 428,446,175,364
  5. Step 5: Solve for x
    x = 428,446,175,364/425,721
  6. Step 6: Final answer
    x = 1,006,401.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.