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Finding the Third Proportional to 127,977 and 279,246

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Solution

The third proportional to 127,977 and 279,246 is: 609,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,977 : 279,246 = 279,246 : x
  2. Step 2: Convert to fraction form
    127,977/279,246 = 279,246/x
  3. Step 3: Cross multiply
    127,977x = 279,246 × 279,246
  4. Step 4: Simplify right side
    127,977x = 77,978,328,516
  5. Step 5: Solve for x
    x = 77,978,328,516/127,977
  6. Step 6: Final answer
    x = 609,315.18

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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.