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Finding the Third Proportional to 187,008.75 and 280,440.56

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Solution

The third proportional to 187,008.75 and 280,440.56 is: 420,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,008.75 : 280,440.56 = 280,440.56 : x
  2. Step 2: Convert to fraction form
    187,008.75/280,440.56 = 280,440.56/x
  3. Step 3: Cross multiply
    187,008.75x = 280,440.56 × 280,440.56
  4. Step 4: Simplify right side
    187,008.75x = 78,646,909,095.32
  5. Step 5: Solve for x
    x = 78,646,909,095.32/187,008.75
  6. Step 6: Final answer
    x = 420,552.03

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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.