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Finding the Third Proportional to 128,127.75 and 187,252.50

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Solution

The third proportional to 128,127.75 and 187,252.50 is: 273,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127.75 : 187,252.50 = 187,252.50 : x
  2. Step 2: Convert to fraction form
    128,127.75/187,252.50 = 187,252.50/x
  3. Step 3: Cross multiply
    128,127.75x = 187,252.50 × 187,252.50
  4. Step 4: Simplify right side
    128,127.75x = 35,063,498,756.25
  5. Step 5: Solve for x
    x = 35,063,498,756.25/128,127.75
  6. Step 6: Final answer
    x = 273,660.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.