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Finding the Third Proportional to 127,739.50 and 268,708.50

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Solution

The third proportional to 127,739.50 and 268,708.50 is: 565,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,739.50 : 268,708.50 = 268,708.50 : x
  2. Step 2: Convert to fraction form
    127,739.50/268,708.50 = 268,708.50/x
  3. Step 3: Cross multiply
    127,739.50x = 268,708.50 × 268,708.50
  4. Step 4: Simplify right side
    127,739.50x = 72,204,257,972.25
  5. Step 5: Solve for x
    x = 72,204,257,972.25/127,739.50
  6. Step 6: Final answer
    x = 565,246.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.