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Finding the Third Proportional to 10,818.98 and 17,116.97

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Solution

The third proportional to 10,818.98 and 17,116.97 is: 27,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.98 : 17,116.97 = 17,116.97 : x
  2. Step 2: Convert to fraction form
    10,818.98/17,116.97 = 17,116.97/x
  3. Step 3: Cross multiply
    10,818.98x = 17,116.97 × 17,116.97
  4. Step 4: Simplify right side
    10,818.98x = 292,990,619.19
  5. Step 5: Solve for x
    x = 292,990,619.19/10,818.98
  6. Step 6: Final answer
    x = 27,081.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.