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Finding the Third Proportional to 418,857 and 665,829

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Solution

The third proportional to 418,857 and 665,829 is: 1,058,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,857 : 665,829 = 665,829 : x
  2. Step 2: Convert to fraction form
    418,857/665,829 = 665,829/x
  3. Step 3: Cross multiply
    418,857x = 665,829 × 665,829
  4. Step 4: Simplify right side
    418,857x = 443,328,257,241
  5. Step 5: Solve for x
    x = 443,328,257,241/418,857
  6. Step 6: Final answer
    x = 1,058,423.89

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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.