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Finding the Third Proportional to 1,543.78 and 3,281.06

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Solution

The third proportional to 1,543.78 and 3,281.06 is: 6,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.78 : 3,281.06 = 3,281.06 : x
  2. Step 2: Convert to fraction form
    1,543.78/3,281.06 = 3,281.06/x
  3. Step 3: Cross multiply
    1,543.78x = 3,281.06 × 3,281.06
  4. Step 4: Simplify right side
    1,543.78x = 10,765,371.13
  5. Step 5: Solve for x
    x = 10,765,371.13/1,543.78
  6. Step 6: Final answer
    x = 6,973.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.