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Finding the Third Proportional to 127,720 and 279,600

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Solution

The third proportional to 127,720 and 279,600 is: 612,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,720 : 279,600 = 279,600 : x
  2. Step 2: Convert to fraction form
    127,720/279,600 = 279,600/x
  3. Step 3: Cross multiply
    127,720x = 279,600 × 279,600
  4. Step 4: Simplify right side
    127,720x = 78,176,160,000
  5. Step 5: Solve for x
    x = 78,176,160,000/127,720
  6. Step 6: Final answer
    x = 612,090.20

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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.