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Finding the Third Proportional to 121,937.25 and 187,661.25

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Solution

The third proportional to 121,937.25 and 187,661.25 is: 288,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,937.25 : 187,661.25 = 187,661.25 : x
  2. Step 2: Convert to fraction form
    121,937.25/187,661.25 = 187,661.25/x
  3. Step 3: Cross multiply
    121,937.25x = 187,661.25 × 187,661.25
  4. Step 4: Simplify right side
    121,937.25x = 35,216,744,751.56
  5. Step 5: Solve for x
    x = 35,216,744,751.56/121,937.25
  6. Step 6: Final answer
    x = 288,810.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.