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Finding the Third Proportional to 419,632 and 665,488

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Solution

The third proportional to 419,632 and 665,488 is: 1,055,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,632 : 665,488 = 665,488 : x
  2. Step 2: Convert to fraction form
    419,632/665,488 = 665,488/x
  3. Step 3: Cross multiply
    419,632x = 665,488 × 665,488
  4. Step 4: Simplify right side
    419,632x = 442,874,278,144
  5. Step 5: Solve for x
    x = 442,874,278,144/419,632
  6. Step 6: Final answer
    x = 1,055,387.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.