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Finding the Third Proportional to 418,200 and 665,436

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Solution

The third proportional to 418,200 and 665,436 is: 1,058,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,200 : 665,436 = 665,436 : x
  2. Step 2: Convert to fraction form
    418,200/665,436 = 665,436/x
  3. Step 3: Cross multiply
    418,200x = 665,436 × 665,436
  4. Step 4: Simplify right side
    418,200x = 442,805,070,096
  5. Step 5: Solve for x
    x = 442,805,070,096/418,200
  6. Step 6: Final answer
    x = 1,058,835.65

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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.