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Finding the Third Proportional to 3,142 and 4,395

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Solution

The third proportional to 3,142 and 4,395 is: 6,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142 : 4,395 = 4,395 : x
  2. Step 2: Convert to fraction form
    3,142/4,395 = 4,395/x
  3. Step 3: Cross multiply
    3,142x = 4,395 × 4,395
  4. Step 4: Simplify right side
    3,142x = 19,316,025
  5. Step 5: Solve for x
    x = 19,316,025/3,142
  6. Step 6: Final answer
    x = 6,147.68

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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.