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Finding the Third Proportional to 1,445.42 and 3,161.61

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Solution

The third proportional to 1,445.42 and 3,161.61 is: 6,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.42 : 3,161.61 = 3,161.61 : x
  2. Step 2: Convert to fraction form
    1,445.42/3,161.61 = 3,161.61/x
  3. Step 3: Cross multiply
    1,445.42x = 3,161.61 × 3,161.61
  4. Step 4: Simplify right side
    1,445.42x = 9,995,780.02
  5. Step 5: Solve for x
    x = 9,995,780.02/1,445.42
  6. Step 6: Final answer
    x = 6,915.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.