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Finding the Third Proportional to 187,239 and 287,115

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Solution

The third proportional to 187,239 and 287,115 is: 440,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,239 : 287,115 = 287,115 : x
  2. Step 2: Convert to fraction form
    187,239/287,115 = 287,115/x
  3. Step 3: Cross multiply
    187,239x = 287,115 × 287,115
  4. Step 4: Simplify right side
    187,239x = 82,435,023,225
  5. Step 5: Solve for x
    x = 82,435,023,225/187,239
  6. Step 6: Final answer
    x = 440,266.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.