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Finding the Third Proportional to 6,291.42 and 8,817.61

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Solution

The third proportional to 6,291.42 and 8,817.61 is: 12,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.42 : 8,817.61 = 8,817.61 : x
  2. Step 2: Convert to fraction form
    6,291.42/8,817.61 = 8,817.61/x
  3. Step 3: Cross multiply
    6,291.42x = 8,817.61 × 8,817.61
  4. Step 4: Simplify right side
    6,291.42x = 77,750,235.09
  5. Step 5: Solve for x
    x = 77,750,235.09/6,291.42
  6. Step 6: Final answer
    x = 12,358.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.