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Finding the Third Proportional to 127,580 and 279,344

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Solution

The third proportional to 127,580 and 279,344 is: 611,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,580 : 279,344 = 279,344 : x
  2. Step 2: Convert to fraction form
    127,580/279,344 = 279,344/x
  3. Step 3: Cross multiply
    127,580x = 279,344 × 279,344
  4. Step 4: Simplify right side
    127,580x = 78,033,070,336
  5. Step 5: Solve for x
    x = 78,033,070,336/127,580
  6. Step 6: Final answer
    x = 611,640.31

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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.