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Finding the Third Proportional to 3,549.38 and 7,782.19

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Solution

The third proportional to 3,549.38 and 7,782.19 is: 17,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.38 : 7,782.19 = 7,782.19 : x
  2. Step 2: Convert to fraction form
    3,549.38/7,782.19 = 7,782.19/x
  3. Step 3: Cross multiply
    3,549.38x = 7,782.19 × 7,782.19
  4. Step 4: Simplify right side
    3,549.38x = 60,562,442.29
  5. Step 5: Solve for x
    x = 60,562,442.29/3,549.38
  6. Step 6: Final answer
    x = 17,062.85

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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.