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Finding the Third Proportional to 8,578 and 12,959

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Solution

The third proportional to 8,578 and 12,959 is: 19,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578 : 12,959 = 12,959 : x
  2. Step 2: Convert to fraction form
    8,578/12,959 = 12,959/x
  3. Step 3: Cross multiply
    8,578x = 12,959 × 12,959
  4. Step 4: Simplify right side
    8,578x = 167,935,681
  5. Step 5: Solve for x
    x = 167,935,681/8,578
  6. Step 6: Final answer
    x = 19,577.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.