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Finding the Third Proportional to 127,125 and 279,786

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Solution

The third proportional to 127,125 and 279,786 is: 615,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,125 : 279,786 = 279,786 : x
  2. Step 2: Convert to fraction form
    127,125/279,786 = 279,786/x
  3. Step 3: Cross multiply
    127,125x = 279,786 × 279,786
  4. Step 4: Simplify right side
    127,125x = 78,280,205,796
  5. Step 5: Solve for x
    x = 78,280,205,796/127,125
  6. Step 6: Final answer
    x = 615,773.50

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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.