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Finding the Third Proportional to 135,073 and 288,374

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Solution

The third proportional to 135,073 and 288,374 is: 615,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,073 : 288,374 = 288,374 : x
  2. Step 2: Convert to fraction form
    135,073/288,374 = 288,374/x
  3. Step 3: Cross multiply
    135,073x = 288,374 × 288,374
  4. Step 4: Simplify right side
    135,073x = 83,159,563,876
  5. Step 5: Solve for x
    x = 83,159,563,876/135,073
  6. Step 6: Final answer
    x = 615,663.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.