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Finding the Third Proportional to 3,998.81 and 6,272.40

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Solution

The third proportional to 3,998.81 and 6,272.40 is: 9,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.81 : 6,272.40 = 6,272.40 : x
  2. Step 2: Convert to fraction form
    3,998.81/6,272.40 = 6,272.40/x
  3. Step 3: Cross multiply
    3,998.81x = 6,272.40 × 6,272.40
  4. Step 4: Simplify right side
    3,998.81x = 39,343,031.16
  5. Step 5: Solve for x
    x = 39,343,031.16/3,998.81
  6. Step 6: Final answer
    x = 9,838.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.