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Finding the Third Proportional to 127,980 and 279,288

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Solution

The third proportional to 127,980 and 279,288 is: 609,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,980 : 279,288 = 279,288 : x
  2. Step 2: Convert to fraction form
    127,980/279,288 = 279,288/x
  3. Step 3: Cross multiply
    127,980x = 279,288 × 279,288
  4. Step 4: Simplify right side
    127,980x = 78,001,786,944
  5. Step 5: Solve for x
    x = 78,001,786,944/127,980
  6. Step 6: Final answer
    x = 609,484.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.