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Finding the Third Proportional to 75,906 and 121,959

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Solution

The third proportional to 75,906 and 121,959 is: 195,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906 : 121,959 = 121,959 : x
  2. Step 2: Convert to fraction form
    75,906/121,959 = 121,959/x
  3. Step 3: Cross multiply
    75,906x = 121,959 × 121,959
  4. Step 4: Simplify right side
    75,906x = 14,873,997,681
  5. Step 5: Solve for x
    x = 14,873,997,681/75,906
  6. Step 6: Final answer
    x = 195,952.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.