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Finding the Third Proportional to 3,154.78 and 4,423.78

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Solution

The third proportional to 3,154.78 and 4,423.78 is: 6,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.78 : 4,423.78 = 4,423.78 : x
  2. Step 2: Convert to fraction form
    3,154.78/4,423.78 = 4,423.78/x
  3. Step 3: Cross multiply
    3,154.78x = 4,423.78 × 4,423.78
  4. Step 4: Simplify right side
    3,154.78x = 19,569,840.55
  5. Step 5: Solve for x
    x = 19,569,840.55/3,154.78
  6. Step 6: Final answer
    x = 6,203.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.