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Finding the Third Proportional to 57,381 and 87,714

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Solution

The third proportional to 57,381 and 87,714 is: 134,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381 : 87,714 = 87,714 : x
  2. Step 2: Convert to fraction form
    57,381/87,714 = 87,714/x
  3. Step 3: Cross multiply
    57,381x = 87,714 × 87,714
  4. Step 4: Simplify right side
    57,381x = 7,693,745,796
  5. Step 5: Solve for x
    x = 7,693,745,796/57,381
  6. Step 6: Final answer
    x = 134,081.77

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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.