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Finding the Third Proportional to 38,158 and 81,959

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Solution

The third proportional to 38,158 and 81,959 is: 176,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,158 : 81,959 = 81,959 : x
  2. Step 2: Convert to fraction form
    38,158/81,959 = 81,959/x
  3. Step 3: Cross multiply
    38,158x = 81,959 × 81,959
  4. Step 4: Simplify right side
    38,158x = 6,717,277,681
  5. Step 5: Solve for x
    x = 6,717,277,681/38,158
  6. Step 6: Final answer
    x = 176,038.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.