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Finding the Third Proportional to 5,642.16 and 8,290.48

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Solution

The third proportional to 5,642.16 and 8,290.48 is: 12,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.16 : 8,290.48 = 8,290.48 : x
  2. Step 2: Convert to fraction form
    5,642.16/8,290.48 = 8,290.48/x
  3. Step 3: Cross multiply
    5,642.16x = 8,290.48 × 8,290.48
  4. Step 4: Simplify right side
    5,642.16x = 68,732,001.63
  5. Step 5: Solve for x
    x = 68,732,001.63/5,642.16
  6. Step 6: Final answer
    x = 12,181.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.