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Finding the Third Proportional to 8,670.80 and 11,394.42

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Solution

The third proportional to 8,670.80 and 11,394.42 is: 14,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.80 : 11,394.42 = 11,394.42 : x
  2. Step 2: Convert to fraction form
    8,670.80/11,394.42 = 11,394.42/x
  3. Step 3: Cross multiply
    8,670.80x = 11,394.42 × 11,394.42
  4. Step 4: Simplify right side
    8,670.80x = 129,832,849.87
  5. Step 5: Solve for x
    x = 129,832,849.87/8,670.80
  6. Step 6: Final answer
    x = 14,973.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.