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Finding the Third Proportional to 127,652 and 272,680

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Solution

The third proportional to 127,652 and 272,680 is: 582,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,652 : 272,680 = 272,680 : x
  2. Step 2: Convert to fraction form
    127,652/272,680 = 272,680/x
  3. Step 3: Cross multiply
    127,652x = 272,680 × 272,680
  4. Step 4: Simplify right side
    127,652x = 74,354,382,400
  5. Step 5: Solve for x
    x = 74,354,382,400/127,652
  6. Step 6: Final answer
    x = 582,477.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.