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Finding the Third Proportional to 187,201.13 and 280,710.56

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Solution

The third proportional to 187,201.13 and 280,710.56 is: 420,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,201.13 : 280,710.56 = 280,710.56 : x
  2. Step 2: Convert to fraction form
    187,201.13/280,710.56 = 280,710.56/x
  3. Step 3: Cross multiply
    187,201.13x = 280,710.56 × 280,710.56
  4. Step 4: Simplify right side
    187,201.13x = 78,798,419,899.07
  5. Step 5: Solve for x
    x = 78,798,419,899.07/187,201.13
  6. Step 6: Final answer
    x = 420,929.20

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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.