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Finding the Third Proportional to 187,989.75 and 291,231

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Solution

The third proportional to 187,989.75 and 291,231 is: 451,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,989.75 : 291,231 = 291,231 : x
  2. Step 2: Convert to fraction form
    187,989.75/291,231 = 291,231/x
  3. Step 3: Cross multiply
    187,989.75x = 291,231 × 291,231
  4. Step 4: Simplify right side
    187,989.75x = 84,815,495,361
  5. Step 5: Solve for x
    x = 84,815,495,361/187,989.75
  6. Step 6: Final answer
    x = 451,170.85

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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.