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Finding the Third Proportional to 8,539.17 and 12,922.66

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Solution

The third proportional to 8,539.17 and 12,922.66 is: 19,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.17 : 12,922.66 = 12,922.66 : x
  2. Step 2: Convert to fraction form
    8,539.17/12,922.66 = 12,922.66/x
  3. Step 3: Cross multiply
    8,539.17x = 12,922.66 × 12,922.66
  4. Step 4: Simplify right side
    8,539.17x = 166,995,246.47
  5. Step 5: Solve for x
    x = 166,995,246.47/8,539.17
  6. Step 6: Final answer
    x = 19,556.37

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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.