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Finding the Third Proportional to 418,686 and 614,421

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Solution

The third proportional to 418,686 and 614,421 is: 901,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,686 : 614,421 = 614,421 : x
  2. Step 2: Convert to fraction form
    418,686/614,421 = 614,421/x
  3. Step 3: Cross multiply
    418,686x = 614,421 × 614,421
  4. Step 4: Simplify right side
    418,686x = 377,513,165,241
  5. Step 5: Solve for x
    x = 377,513,165,241/418,686
  6. Step 6: Final answer
    x = 901,661.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.