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Finding the Third Proportional to 121,931.63 and 187,561.88

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Solution

The third proportional to 121,931.63 and 187,561.88 is: 288,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,931.63 : 187,561.88 = 187,561.88 : x
  2. Step 2: Convert to fraction form
    121,931.63/187,561.88 = 187,561.88/x
  3. Step 3: Cross multiply
    121,931.63x = 187,561.88 × 187,561.88
  4. Step 4: Simplify right side
    121,931.63x = 35,179,456,953.52
  5. Step 5: Solve for x
    x = 35,179,456,953.52/121,931.63
  6. Step 6: Final answer
    x = 288,517.90

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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.