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Finding the Third Proportional to 55,287.94 and 129,957.75

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Solution

The third proportional to 55,287.94 and 129,957.75 is: 305,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,287.94 : 129,957.75 = 129,957.75 : x
  2. Step 2: Convert to fraction form
    55,287.94/129,957.75 = 129,957.75/x
  3. Step 3: Cross multiply
    55,287.94x = 129,957.75 × 129,957.75
  4. Step 4: Simplify right side
    55,287.94x = 16,889,016,785.06
  5. Step 5: Solve for x
    x = 16,889,016,785.06/55,287.94
  6. Step 6: Final answer
    x = 305,473.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.