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Finding the Third Proportional to 267,868 and 415,031

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Solution

The third proportional to 267,868 and 415,031 is: 643,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,868 : 415,031 = 415,031 : x
  2. Step 2: Convert to fraction form
    267,868/415,031 = 415,031/x
  3. Step 3: Cross multiply
    267,868x = 415,031 × 415,031
  4. Step 4: Simplify right side
    267,868x = 172,250,730,961
  5. Step 5: Solve for x
    x = 172,250,730,961/267,868
  6. Step 6: Final answer
    x = 643,043.33

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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.