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Finding the Third Proportional to 4,976 and 10,543

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Solution

The third proportional to 4,976 and 10,543 is: 22,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976 : 10,543 = 10,543 : x
  2. Step 2: Convert to fraction form
    4,976/10,543 = 10,543/x
  3. Step 3: Cross multiply
    4,976x = 10,543 × 10,543
  4. Step 4: Simplify right side
    4,976x = 111,154,849
  5. Step 5: Solve for x
    x = 111,154,849/4,976
  6. Step 6: Final answer
    x = 22,338.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.