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Finding the Third Proportional to 418,371 and 664,857

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Solution

The third proportional to 418,371 and 664,857 is: 1,056,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,371 : 664,857 = 664,857 : x
  2. Step 2: Convert to fraction form
    418,371/664,857 = 664,857/x
  3. Step 3: Cross multiply
    418,371x = 664,857 × 664,857
  4. Step 4: Simplify right side
    418,371x = 442,034,830,449
  5. Step 5: Solve for x
    x = 442,034,830,449/418,371
  6. Step 6: Final answer
    x = 1,056,561.83

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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.