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Finding the Third Proportional to 127,458 and 280,005.75

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Solution

The third proportional to 127,458 and 280,005.75 is: 615,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,458 : 280,005.75 = 280,005.75 : x
  2. Step 2: Convert to fraction form
    127,458/280,005.75 = 280,005.75/x
  3. Step 3: Cross multiply
    127,458x = 280,005.75 × 280,005.75
  4. Step 4: Simplify right side
    127,458x = 78,403,220,033.06
  5. Step 5: Solve for x
    x = 78,403,220,033.06/127,458
  6. Step 6: Final answer
    x = 615,129.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.