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Finding the Third Proportional to 127,127 and 279,790

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Solution

The third proportional to 127,127 and 279,790 is: 615,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,127 : 279,790 = 279,790 : x
  2. Step 2: Convert to fraction form
    127,127/279,790 = 279,790/x
  3. Step 3: Cross multiply
    127,127x = 279,790 × 279,790
  4. Step 4: Simplify right side
    127,127x = 78,282,444,100
  5. Step 5: Solve for x
    x = 78,282,444,100/127,127
  6. Step 6: Final answer
    x = 615,781.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.