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Finding the Third Proportional to 127,724 and 170,838

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Solution

The third proportional to 127,724 and 170,838 is: 228,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,724 : 170,838 = 170,838 : x
  2. Step 2: Convert to fraction form
    127,724/170,838 = 170,838/x
  3. Step 3: Cross multiply
    127,724x = 170,838 × 170,838
  4. Step 4: Simplify right side
    127,724x = 29,185,622,244
  5. Step 5: Solve for x
    x = 29,185,622,244/127,724
  6. Step 6: Final answer
    x = 228,505.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.