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Finding the Third Proportional to 110,698 and 172,959

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Solution

The third proportional to 110,698 and 172,959 is: 270,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,698 : 172,959 = 172,959 : x
  2. Step 2: Convert to fraction form
    110,698/172,959 = 172,959/x
  3. Step 3: Cross multiply
    110,698x = 172,959 × 172,959
  4. Step 4: Simplify right side
    110,698x = 29,914,815,681
  5. Step 5: Solve for x
    x = 29,914,815,681/110,698
  6. Step 6: Final answer
    x = 270,238.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.