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Finding the Third Proportional to 78,422.25 and 166,959

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Solution

The third proportional to 78,422.25 and 166,959 is: 355,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.25 : 166,959 = 166,959 : x
  2. Step 2: Convert to fraction form
    78,422.25/166,959 = 166,959/x
  3. Step 3: Cross multiply
    78,422.25x = 166,959 × 166,959
  4. Step 4: Simplify right side
    78,422.25x = 27,875,307,681
  5. Step 5: Solve for x
    x = 27,875,307,681/78,422.25
  6. Step 6: Final answer
    x = 355,451.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.