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Finding the Third Proportional to 418,197 and 665,432

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Solution

The third proportional to 418,197 and 665,432 is: 1,058,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,197 : 665,432 = 665,432 : x
  2. Step 2: Convert to fraction form
    418,197/665,432 = 665,432/x
  3. Step 3: Cross multiply
    418,197x = 665,432 × 665,432
  4. Step 4: Simplify right side
    418,197x = 442,799,746,624
  5. Step 5: Solve for x
    x = 442,799,746,624/418,197
  6. Step 6: Final answer
    x = 1,058,830.52

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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.