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Finding the Third Proportional to 5,686.88 and 8,486.44

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Solution

The third proportional to 5,686.88 and 8,486.44 is: 12,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.88 : 8,486.44 = 8,486.44 : x
  2. Step 2: Convert to fraction form
    5,686.88/8,486.44 = 8,486.44/x
  3. Step 3: Cross multiply
    5,686.88x = 8,486.44 × 8,486.44
  4. Step 4: Simplify right side
    5,686.88x = 72,019,621.44
  5. Step 5: Solve for x
    x = 72,019,621.44/5,686.88
  6. Step 6: Final answer
    x = 12,664.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.