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Finding the Third Proportional to 188,667.56 and 280,432.13

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Solution

The third proportional to 188,667.56 and 280,432.13 is: 416,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,667.56 : 280,432.13 = 280,432.13 : x
  2. Step 2: Convert to fraction form
    188,667.56/280,432.13 = 280,432.13/x
  3. Step 3: Cross multiply
    188,667.56x = 280,432.13 × 280,432.13
  4. Step 4: Simplify right side
    188,667.56x = 78,642,176,732.02
  5. Step 5: Solve for x
    x = 78,642,176,732.02/188,667.56
  6. Step 6: Final answer
    x = 416,829.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.