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Finding the Third Proportional to 187,956 and 287,887

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Solution

The third proportional to 187,956 and 287,887 is: 440,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,956 : 287,887 = 287,887 : x
  2. Step 2: Convert to fraction form
    187,956/287,887 = 287,887/x
  3. Step 3: Cross multiply
    187,956x = 287,887 × 287,887
  4. Step 4: Simplify right side
    187,956x = 82,878,924,769
  5. Step 5: Solve for x
    x = 82,878,924,769/187,956
  6. Step 6: Final answer
    x = 440,948.55

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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.