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Finding the Third Proportional to 7,979.13 and 12,079.76

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Solution

The third proportional to 7,979.13 and 12,079.76 is: 18,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979.13 : 12,079.76 = 12,079.76 : x
  2. Step 2: Convert to fraction form
    7,979.13/12,079.76 = 12,079.76/x
  3. Step 3: Cross multiply
    7,979.13x = 12,079.76 × 12,079.76
  4. Step 4: Simplify right side
    7,979.13x = 145,920,548.81
  5. Step 5: Solve for x
    x = 145,920,548.81/7,979.13
  6. Step 6: Final answer
    x = 18,287.77

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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.