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Finding the Third Proportional to 138,856.50 and 303,112.13

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Solution

The third proportional to 138,856.50 and 303,112.13 is: 661,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,856.50 : 303,112.13 = 303,112.13 : x
  2. Step 2: Convert to fraction form
    138,856.50/303,112.13 = 303,112.13/x
  3. Step 3: Cross multiply
    138,856.50x = 303,112.13 × 303,112.13
  4. Step 4: Simplify right side
    138,856.50x = 91,876,960,322.02
  5. Step 5: Solve for x
    x = 91,876,960,322.02/138,856.50
  6. Step 6: Final answer
    x = 661,668.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.