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Finding the Third Proportional to 140,730.75 and 218,305.13

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Solution

The third proportional to 140,730.75 and 218,305.13 is: 338,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,730.75 : 218,305.13 = 218,305.13 : x
  2. Step 2: Convert to fraction form
    140,730.75/218,305.13 = 218,305.13/x
  3. Step 3: Cross multiply
    140,730.75x = 218,305.13 × 218,305.13
  4. Step 4: Simplify right side
    140,730.75x = 47,657,127,601.27
  5. Step 5: Solve for x
    x = 47,657,127,601.27/140,730.75
  6. Step 6: Final answer
    x = 338,640.47

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