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Finding the Third Proportional to 121,999.31 and 182,281.13

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Solution

The third proportional to 121,999.31 and 182,281.13 is: 272,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,999.31 : 182,281.13 = 182,281.13 : x
  2. Step 2: Convert to fraction form
    121,999.31/182,281.13 = 182,281.13/x
  3. Step 3: Cross multiply
    121,999.31x = 182,281.13 × 182,281.13
  4. Step 4: Simplify right side
    121,999.31x = 33,226,408,531.27
  5. Step 5: Solve for x
    x = 33,226,408,531.27/121,999.31
  6. Step 6: Final answer
    x = 272,349.15

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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.