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Finding the Third Proportional to 56,442 and 82,979

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Solution

The third proportional to 56,442 and 82,979 is: 121,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 82,979 = 82,979 : x
  2. Step 2: Convert to fraction form
    56,442/82,979 = 82,979/x
  3. Step 3: Cross multiply
    56,442x = 82,979 × 82,979
  4. Step 4: Simplify right side
    56,442x = 6,885,514,441
  5. Step 5: Solve for x
    x = 6,885,514,441/56,442
  6. Step 6: Final answer
    x = 121,992.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.