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Finding the Third Proportional to 127,480.50 and 280,125

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Solution

The third proportional to 127,480.50 and 280,125 is: 615,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,480.50 : 280,125 = 280,125 : x
  2. Step 2: Convert to fraction form
    127,480.50/280,125 = 280,125/x
  3. Step 3: Cross multiply
    127,480.50x = 280,125 × 280,125
  4. Step 4: Simplify right side
    127,480.50x = 78,470,015,625
  5. Step 5: Solve for x
    x = 78,470,015,625/127,480.50
  6. Step 6: Final answer
    x = 615,545.25

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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.