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Finding the Third Proportional to 128,057.50 and 187,934.50

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Solution

The third proportional to 128,057.50 and 187,934.50 is: 275,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,057.50 : 187,934.50 = 187,934.50 : x
  2. Step 2: Convert to fraction form
    128,057.50/187,934.50 = 187,934.50/x
  3. Step 3: Cross multiply
    128,057.50x = 187,934.50 × 187,934.50
  4. Step 4: Simplify right side
    128,057.50x = 35,319,376,290.25
  5. Step 5: Solve for x
    x = 35,319,376,290.25/128,057.50
  6. Step 6: Final answer
    x = 275,808.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.