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Finding the Third Proportional to 121,901.52 and 161,750.20

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Solution

The third proportional to 121,901.52 and 161,750.20 is: 214,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,901.52 : 161,750.20 = 161,750.20 : x
  2. Step 2: Convert to fraction form
    121,901.52/161,750.20 = 161,750.20/x
  3. Step 3: Cross multiply
    121,901.52x = 161,750.20 × 161,750.20
  4. Step 4: Simplify right side
    121,901.52x = 26,163,126,315.47
  5. Step 5: Solve for x
    x = 26,163,126,315.47/121,901.52
  6. Step 6: Final answer
    x = 214,625.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.