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Finding the Third Proportional to 56,670 and 87,443

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Solution

The third proportional to 56,670 and 87,443 is: 134,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,670 : 87,443 = 87,443 : x
  2. Step 2: Convert to fraction form
    56,670/87,443 = 87,443/x
  3. Step 3: Cross multiply
    56,670x = 87,443 × 87,443
  4. Step 4: Simplify right side
    56,670x = 7,646,278,249
  5. Step 5: Solve for x
    x = 7,646,278,249/56,670
  6. Step 6: Final answer
    x = 134,926.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.