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Finding the Third Proportional to 121,997.39 and 182,278.48

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Solution

The third proportional to 121,997.39 and 182,278.48 is: 272,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,997.39 : 182,278.48 = 182,278.48 : x
  2. Step 2: Convert to fraction form
    121,997.39/182,278.48 = 182,278.48/x
  3. Step 3: Cross multiply
    121,997.39x = 182,278.48 × 182,278.48
  4. Step 4: Simplify right side
    121,997.39x = 33,225,443,017.95
  5. Step 5: Solve for x
    x = 33,225,443,017.95/121,997.39
  6. Step 6: Final answer
    x = 272,345.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.