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Finding the Third Proportional to 7,948.13 and 12,191.77

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Solution

The third proportional to 7,948.13 and 12,191.77 is: 18,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.13 : 12,191.77 = 12,191.77 : x
  2. Step 2: Convert to fraction form
    7,948.13/12,191.77 = 12,191.77/x
  3. Step 3: Cross multiply
    7,948.13x = 12,191.77 × 12,191.77
  4. Step 4: Simplify right side
    7,948.13x = 148,639,149.05
  5. Step 5: Solve for x
    x = 148,639,149.05/7,948.13
  6. Step 6: Final answer
    x = 18,701.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.