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Finding the Third Proportional to 121,630.50 and 181,957.50

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Solution

The third proportional to 121,630.50 and 181,957.50 is: 272,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,630.50 : 181,957.50 = 181,957.50 : x
  2. Step 2: Convert to fraction form
    121,630.50/181,957.50 = 181,957.50/x
  3. Step 3: Cross multiply
    121,630.50x = 181,957.50 × 181,957.50
  4. Step 4: Simplify right side
    121,630.50x = 33,108,531,806.25
  5. Step 5: Solve for x
    x = 33,108,531,806.25/121,630.50
  6. Step 6: Final answer
    x = 272,205.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.