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Finding the Third Proportional to 268,051 and 415,217

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Solution

The third proportional to 268,051 and 415,217 is: 643,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,051 : 415,217 = 415,217 : x
  2. Step 2: Convert to fraction form
    268,051/415,217 = 415,217/x
  3. Step 3: Cross multiply
    268,051x = 415,217 × 415,217
  4. Step 4: Simplify right side
    268,051x = 172,405,157,089
  5. Step 5: Solve for x
    x = 172,405,157,089/268,051
  6. Step 6: Final answer
    x = 643,180.43

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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.