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Finding the Third Proportional to 128,314.13 and 191,419.88

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Solution

The third proportional to 128,314.13 and 191,419.88 is: 285,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,314.13 : 191,419.88 = 191,419.88 : x
  2. Step 2: Convert to fraction form
    128,314.13/191,419.88 = 191,419.88/x
  3. Step 3: Cross multiply
    128,314.13x = 191,419.88 × 191,419.88
  4. Step 4: Simplify right side
    128,314.13x = 36,641,568,545.02
  5. Step 5: Solve for x
    x = 36,641,568,545.02/128,314.13
  6. Step 6: Final answer
    x = 285,561.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.