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Finding the Third Proportional to 155,287.13 and 243,318.94

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Solution

The third proportional to 155,287.13 and 243,318.94 is: 381,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,287.13 : 243,318.94 = 243,318.94 : x
  2. Step 2: Convert to fraction form
    155,287.13/243,318.94 = 243,318.94/x
  3. Step 3: Cross multiply
    155,287.13x = 243,318.94 × 243,318.94
  4. Step 4: Simplify right side
    155,287.13x = 59,204,105,346.13
  5. Step 5: Solve for x
    x = 59,204,105,346.13/155,287.13
  6. Step 6: Final answer
    x = 381,255.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.