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Finding the Third Proportional to 8,397.42 and 18,279.42

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Solution

The third proportional to 8,397.42 and 18,279.42 is: 39,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.42 : 18,279.42 = 18,279.42 : x
  2. Step 2: Convert to fraction form
    8,397.42/18,279.42 = 18,279.42/x
  3. Step 3: Cross multiply
    8,397.42x = 18,279.42 × 18,279.42
  4. Step 4: Simplify right side
    8,397.42x = 334,137,264.08
  5. Step 5: Solve for x
    x = 334,137,264.08/8,397.42
  6. Step 6: Final answer
    x = 39,790.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.