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Finding the Third Proportional to 67,318.59 and 143,635.78

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Solution

The third proportional to 67,318.59 and 143,635.78 is: 306,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,318.59 : 143,635.78 = 143,635.78 : x
  2. Step 2: Convert to fraction form
    67,318.59/143,635.78 = 143,635.78/x
  3. Step 3: Cross multiply
    67,318.59x = 143,635.78 × 143,635.78
  4. Step 4: Simplify right side
    67,318.59x = 20,631,237,655.30
  5. Step 5: Solve for x
    x = 20,631,237,655.30/67,318.59
  6. Step 6: Final answer
    x = 306,471.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.