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Finding the Third Proportional to 127,674 and 187,980.75

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Solution

The third proportional to 127,674 and 187,980.75 is: 276,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,674 : 187,980.75 = 187,980.75 : x
  2. Step 2: Convert to fraction form
    127,674/187,980.75 = 187,980.75/x
  3. Step 3: Cross multiply
    127,674x = 187,980.75 × 187,980.75
  4. Step 4: Simplify right side
    127,674x = 35,336,762,370.56
  5. Step 5: Solve for x
    x = 35,336,762,370.56/127,674
  6. Step 6: Final answer
    x = 276,773.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.