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Finding the Third Proportional to 3,154.78 and 4,729.78

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Solution

The third proportional to 3,154.78 and 4,729.78 is: 7,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.78 : 4,729.78 = 4,729.78 : x
  2. Step 2: Convert to fraction form
    3,154.78/4,729.78 = 4,729.78/x
  3. Step 3: Cross multiply
    3,154.78x = 4,729.78 × 4,729.78
  4. Step 4: Simplify right side
    3,154.78x = 22,370,830.67
  5. Step 5: Solve for x
    x = 22,370,830.67/3,154.78
  6. Step 6: Final answer
    x = 7,091.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.