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Finding the Third Proportional to 137,712.66 and 206,979.05

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Solution

The third proportional to 137,712.66 and 206,979.05 is: 311,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.66 : 206,979.05 = 206,979.05 : x
  2. Step 2: Convert to fraction form
    137,712.66/206,979.05 = 206,979.05/x
  3. Step 3: Cross multiply
    137,712.66x = 206,979.05 × 206,979.05
  4. Step 4: Simplify right side
    137,712.66x = 42,840,325,845.28
  5. Step 5: Solve for x
    x = 42,840,325,845.28/137,712.66
  6. Step 6: Final answer
    x = 311,084.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.