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Finding the Third Proportional to 267,668 and 415,091

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Solution

The third proportional to 267,668 and 415,091 is: 643,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,668 : 415,091 = 415,091 : x
  2. Step 2: Convert to fraction form
    267,668/415,091 = 415,091/x
  3. Step 3: Cross multiply
    267,668x = 415,091 × 415,091
  4. Step 4: Simplify right side
    267,668x = 172,300,538,281
  5. Step 5: Solve for x
    x = 172,300,538,281/267,668
  6. Step 6: Final answer
    x = 643,709.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.