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Finding the Third Proportional to 138,727.69 and 208,092.80

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Solution

The third proportional to 138,727.69 and 208,092.80 is: 312,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,727.69 : 208,092.80 = 208,092.80 : x
  2. Step 2: Convert to fraction form
    138,727.69/208,092.80 = 208,092.80/x
  3. Step 3: Cross multiply
    138,727.69x = 208,092.80 × 208,092.80
  4. Step 4: Simplify right side
    138,727.69x = 43,302,612,111.26
  5. Step 5: Solve for x
    x = 43,302,612,111.26/138,727.69
  6. Step 6: Final answer
    x = 312,141.09

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Why These Related Problems?

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