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Finding the Third Proportional to 7,117.13 and 11,434.88

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Solution

The third proportional to 7,117.13 and 11,434.88 is: 18,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.13 : 11,434.88 = 11,434.88 : x
  2. Step 2: Convert to fraction form
    7,117.13/11,434.88 = 11,434.88/x
  3. Step 3: Cross multiply
    7,117.13x = 11,434.88 × 11,434.88
  4. Step 4: Simplify right side
    7,117.13x = 130,756,366.27
  5. Step 5: Solve for x
    x = 130,756,366.27/7,117.13
  6. Step 6: Final answer
    x = 18,372.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.