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Finding the Third Proportional to 3,291.26 and 4,978.65

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Solution

The third proportional to 3,291.26 and 4,978.65 is: 7,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.26 : 4,978.65 = 4,978.65 : x
  2. Step 2: Convert to fraction form
    3,291.26/4,978.65 = 4,978.65/x
  3. Step 3: Cross multiply
    3,291.26x = 4,978.65 × 4,978.65
  4. Step 4: Simplify right side
    3,291.26x = 24,786,979.16
  5. Step 5: Solve for x
    x = 24,786,979.16/3,291.26
  6. Step 6: Final answer
    x = 7,531.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.