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Finding the Third Proportional to 4,142 and 4,742

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Solution

The third proportional to 4,142 and 4,742 is: 5,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 4,742 = 4,742 : x
  2. Step 2: Convert to fraction form
    4,142/4,742 = 4,742/x
  3. Step 3: Cross multiply
    4,142x = 4,742 × 4,742
  4. Step 4: Simplify right side
    4,142x = 22,486,564
  5. Step 5: Solve for x
    x = 22,486,564/4,142
  6. Step 6: Final answer
    x = 5,428.91

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.