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Finding the Third Proportional to 127,578 and 279,578

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Solution

The third proportional to 127,578 and 279,578 is: 612,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,578 : 279,578 = 279,578 : x
  2. Step 2: Convert to fraction form
    127,578/279,578 = 279,578/x
  3. Step 3: Cross multiply
    127,578x = 279,578 × 279,578
  4. Step 4: Simplify right side
    127,578x = 78,163,858,084
  5. Step 5: Solve for x
    x = 78,163,858,084/127,578
  6. Step 6: Final answer
    x = 612,675.05

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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.