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Finding the Third Proportional to 129,807.56 and 280,374.19

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Solution

The third proportional to 129,807.56 and 280,374.19 is: 605,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,807.56 : 280,374.19 = 280,374.19 : x
  2. Step 2: Convert to fraction form
    129,807.56/280,374.19 = 280,374.19/x
  3. Step 3: Cross multiply
    129,807.56x = 280,374.19 × 280,374.19
  4. Step 4: Simplify right side
    129,807.56x = 78,609,685,016.29
  5. Step 5: Solve for x
    x = 78,609,685,016.29/129,807.56
  6. Step 6: Final answer
    x = 605,586.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.