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Finding the Third Proportional to 5,438 and 10,132

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Solution

The third proportional to 5,438 and 10,132 is: 18,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438 : 10,132 = 10,132 : x
  2. Step 2: Convert to fraction form
    5,438/10,132 = 10,132/x
  3. Step 3: Cross multiply
    5,438x = 10,132 × 10,132
  4. Step 4: Simplify right side
    5,438x = 102,657,424
  5. Step 5: Solve for x
    x = 102,657,424/5,438
  6. Step 6: Final answer
    x = 18,877.79

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.