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Finding the Third Proportional to 4,642 and 7,138

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Solution

The third proportional to 4,642 and 7,138 is: 10,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642 : 7,138 = 7,138 : x
  2. Step 2: Convert to fraction form
    4,642/7,138 = 7,138/x
  3. Step 3: Cross multiply
    4,642x = 7,138 × 7,138
  4. Step 4: Simplify right side
    4,642x = 50,951,044
  5. Step 5: Solve for x
    x = 50,951,044/4,642
  6. Step 6: Final answer
    x = 10,976.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.