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Finding the Third Proportional to 127,124 and 279,638

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Solution

The third proportional to 127,124 and 279,638 is: 615,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,124 : 279,638 = 279,638 : x
  2. Step 2: Convert to fraction form
    127,124/279,638 = 279,638/x
  3. Step 3: Cross multiply
    127,124x = 279,638 × 279,638
  4. Step 4: Simplify right side
    127,124x = 78,197,411,044
  5. Step 5: Solve for x
    x = 78,197,411,044/127,124
  6. Step 6: Final answer
    x = 615,127.05

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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.