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Finding the Third Proportional to 3,156.15 and 6,938.79

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Solution

The third proportional to 3,156.15 and 6,938.79 is: 15,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.15 : 6,938.79 = 6,938.79 : x
  2. Step 2: Convert to fraction form
    3,156.15/6,938.79 = 6,938.79/x
  3. Step 3: Cross multiply
    3,156.15x = 6,938.79 × 6,938.79
  4. Step 4: Simplify right side
    3,156.15x = 48,146,793.65
  5. Step 5: Solve for x
    x = 48,146,793.65/3,156.15
  6. Step 6: Final answer
    x = 15,254.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.