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Finding the Third Proportional to 5,140 and 7,269

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Solution

The third proportional to 5,140 and 7,269 is: 10,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 7,269 = 7,269 : x
  2. Step 2: Convert to fraction form
    5,140/7,269 = 7,269/x
  3. Step 3: Cross multiply
    5,140x = 7,269 × 7,269
  4. Step 4: Simplify right side
    5,140x = 52,838,361
  5. Step 5: Solve for x
    x = 52,838,361/5,140
  6. Step 6: Final answer
    x = 10,279.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.