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Finding the Third Proportional to 1,825.66 and 3,972.16

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Solution

The third proportional to 1,825.66 and 3,972.16 is: 8,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.66 : 3,972.16 = 3,972.16 : x
  2. Step 2: Convert to fraction form
    1,825.66/3,972.16 = 3,972.16/x
  3. Step 3: Cross multiply
    1,825.66x = 3,972.16 × 3,972.16
  4. Step 4: Simplify right side
    1,825.66x = 15,778,087.34
  5. Step 5: Solve for x
    x = 15,778,087.34/1,825.66
  6. Step 6: Final answer
    x = 8,642.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.