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Finding the Third Proportional to 91,945.13 and 142,382.81

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Solution

The third proportional to 91,945.13 and 142,382.81 is: 220,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,945.13 : 142,382.81 = 142,382.81 : x
  2. Step 2: Convert to fraction form
    91,945.13/142,382.81 = 142,382.81/x
  3. Step 3: Cross multiply
    91,945.13x = 142,382.81 × 142,382.81
  4. Step 4: Simplify right side
    91,945.13x = 20,272,865,295.41
  5. Step 5: Solve for x
    x = 20,272,865,295.41/91,945.13
  6. Step 6: Final answer
    x = 220,488.75

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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.