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Finding the Third Proportional to 3,648.80 and 5,351.91

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Solution

The third proportional to 3,648.80 and 5,351.91 is: 7,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.80 : 5,351.91 = 5,351.91 : x
  2. Step 2: Convert to fraction form
    3,648.80/5,351.91 = 5,351.91/x
  3. Step 3: Cross multiply
    3,648.80x = 5,351.91 × 5,351.91
  4. Step 4: Simplify right side
    3,648.80x = 28,642,900.51
  5. Step 5: Solve for x
    x = 28,642,900.51/3,648.80
  6. Step 6: Final answer
    x = 7,849.96

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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.