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Finding the Third Proportional to 420,418 and 604,382

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Solution

The third proportional to 420,418 and 604,382 is: 868,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,418 : 604,382 = 604,382 : x
  2. Step 2: Convert to fraction form
    420,418/604,382 = 604,382/x
  3. Step 3: Cross multiply
    420,418x = 604,382 × 604,382
  4. Step 4: Simplify right side
    420,418x = 365,277,601,924
  5. Step 5: Solve for x
    x = 365,277,601,924/420,418
  6. Step 6: Final answer
    x = 868,843.87

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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.