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Finding the Third Proportional to 127,519.59 and 279,278.44

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Solution

The third proportional to 127,519.59 and 279,278.44 is: 611,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,519.59 : 279,278.44 = 279,278.44 : x
  2. Step 2: Convert to fraction form
    127,519.59/279,278.44 = 279,278.44/x
  3. Step 3: Cross multiply
    127,519.59x = 279,278.44 × 279,278.44
  4. Step 4: Simplify right side
    127,519.59x = 77,996,445,652.44
  5. Step 5: Solve for x
    x = 77,996,445,652.44/127,519.59
  6. Step 6: Final answer
    x = 611,642.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.