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Finding the Third Proportional to 128,998.56 and 189,706.13

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Solution

The third proportional to 128,998.56 and 189,706.13 is: 278,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,998.56 : 189,706.13 = 189,706.13 : x
  2. Step 2: Convert to fraction form
    128,998.56/189,706.13 = 189,706.13/x
  3. Step 3: Cross multiply
    128,998.56x = 189,706.13 × 189,706.13
  4. Step 4: Simplify right side
    128,998.56x = 35,988,413,862.52
  5. Step 5: Solve for x
    x = 35,988,413,862.52/128,998.56
  6. Step 6: Final answer
    x = 278,983.06

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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.