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Finding the Third Proportional to 8,782.17 and 18,279.11

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Solution

The third proportional to 8,782.17 and 18,279.11 is: 38,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.17 : 18,279.11 = 18,279.11 : x
  2. Step 2: Convert to fraction form
    8,782.17/18,279.11 = 18,279.11/x
  3. Step 3: Cross multiply
    8,782.17x = 18,279.11 × 18,279.11
  4. Step 4: Simplify right side
    8,782.17x = 334,125,696.74
  5. Step 5: Solve for x
    x = 334,125,696.74/8,782.17
  6. Step 6: Final answer
    x = 38,045.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.