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Finding the Third Proportional to 120,450 and 187,347

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Solution

The third proportional to 120,450 and 187,347 is: 291,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,450 : 187,347 = 187,347 : x
  2. Step 2: Convert to fraction form
    120,450/187,347 = 187,347/x
  3. Step 3: Cross multiply
    120,450x = 187,347 × 187,347
  4. Step 4: Simplify right side
    120,450x = 35,098,898,409
  5. Step 5: Solve for x
    x = 35,098,898,409/120,450
  6. Step 6: Final answer
    x = 291,398.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.