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Finding the Third Proportional to 75,921 and 121,983

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Solution

The third proportional to 75,921 and 121,983 is: 195,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,921 : 121,983 = 121,983 : x
  2. Step 2: Convert to fraction form
    75,921/121,983 = 121,983/x
  3. Step 3: Cross multiply
    75,921x = 121,983 × 121,983
  4. Step 4: Simplify right side
    75,921x = 14,879,852,289
  5. Step 5: Solve for x
    x = 14,879,852,289/75,921
  6. Step 6: Final answer
    x = 195,991.26

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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.