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Finding the Third Proportional to 138,936.75 and 215,269.13

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Solution

The third proportional to 138,936.75 and 215,269.13 is: 333,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,936.75 : 215,269.13 = 215,269.13 : x
  2. Step 2: Convert to fraction form
    138,936.75/215,269.13 = 215,269.13/x
  3. Step 3: Cross multiply
    138,936.75x = 215,269.13 × 215,269.13
  4. Step 4: Simplify right side
    138,936.75x = 46,340,796,178.27
  5. Step 5: Solve for x
    x = 46,340,796,178.27/138,936.75
  6. Step 6: Final answer
    x = 333,538.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.