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Finding the Third Proportional to 127,568 and 279,324

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Solution

The third proportional to 127,568 and 279,324 is: 611,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,568 : 279,324 = 279,324 : x
  2. Step 2: Convert to fraction form
    127,568/279,324 = 279,324/x
  3. Step 3: Cross multiply
    127,568x = 279,324 × 279,324
  4. Step 4: Simplify right side
    127,568x = 78,021,896,976
  5. Step 5: Solve for x
    x = 78,021,896,976/127,568
  6. Step 6: Final answer
    x = 611,610.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.