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Finding the Third Proportional to 187,057.13 and 279,847.69

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Solution

The third proportional to 187,057.13 and 279,847.69 is: 418,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,057.13 : 279,847.69 = 279,847.69 : x
  2. Step 2: Convert to fraction form
    187,057.13/279,847.69 = 279,847.69/x
  3. Step 3: Cross multiply
    187,057.13x = 279,847.69 × 279,847.69
  4. Step 4: Simplify right side
    187,057.13x = 78,314,728,199.10
  5. Step 5: Solve for x
    x = 78,314,728,199.10/187,057.13
  6. Step 6: Final answer
    x = 418,667.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.