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Finding the Third Proportional to 57,386 and 87,723

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Solution

The third proportional to 57,386 and 87,723 is: 134,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386 : 87,723 = 87,723 : x
  2. Step 2: Convert to fraction form
    57,386/87,723 = 87,723/x
  3. Step 3: Cross multiply
    57,386x = 87,723 × 87,723
  4. Step 4: Simplify right side
    57,386x = 7,695,324,729
  5. Step 5: Solve for x
    x = 7,695,324,729/57,386
  6. Step 6: Final answer
    x = 134,097.60

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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.