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Finding the Third Proportional to 420,498 and 604,449

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Solution

The third proportional to 420,498 and 604,449 is: 868,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,498 : 604,449 = 604,449 : x
  2. Step 2: Convert to fraction form
    420,498/604,449 = 604,449/x
  3. Step 3: Cross multiply
    420,498x = 604,449 × 604,449
  4. Step 4: Simplify right side
    420,498x = 365,358,593,601
  5. Step 5: Solve for x
    x = 365,358,593,601/420,498
  6. Step 6: Final answer
    x = 868,871.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.