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Finding the Third Proportional to 3,775.78 and 8,159.06

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Solution

The third proportional to 3,775.78 and 8,159.06 is: 17,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.78 : 8,159.06 = 8,159.06 : x
  2. Step 2: Convert to fraction form
    3,775.78/8,159.06 = 8,159.06/x
  3. Step 3: Cross multiply
    3,775.78x = 8,159.06 × 8,159.06
  4. Step 4: Simplify right side
    3,775.78x = 66,570,300.88
  5. Step 5: Solve for x
    x = 66,570,300.88/3,775.78
  6. Step 6: Final answer
    x = 17,630.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.