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Finding the Third Proportional to 268,049 and 415,214

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Solution

The third proportional to 268,049 and 415,214 is: 643,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,049 : 415,214 = 415,214 : x
  2. Step 2: Convert to fraction form
    268,049/415,214 = 415,214/x
  3. Step 3: Cross multiply
    268,049x = 415,214 × 415,214
  4. Step 4: Simplify right side
    268,049x = 172,402,665,796
  5. Step 5: Solve for x
    x = 172,402,665,796/268,049
  6. Step 6: Final answer
    x = 643,175.93

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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.