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Finding the Third Proportional to 137,979.75 and 202,426.50

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Solution

The third proportional to 137,979.75 and 202,426.50 is: 296,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,979.75 : 202,426.50 = 202,426.50 : x
  2. Step 2: Convert to fraction form
    137,979.75/202,426.50 = 202,426.50/x
  3. Step 3: Cross multiply
    137,979.75x = 202,426.50 × 202,426.50
  4. Step 4: Simplify right side
    137,979.75x = 40,976,487,902.25
  5. Step 5: Solve for x
    x = 40,976,487,902.25/137,979.75
  6. Step 6: Final answer
    x = 296,974.65

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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.