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Finding the Third Proportional to 5,140 and 7,274

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Solution

The third proportional to 5,140 and 7,274 is: 10,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 7,274 = 7,274 : x
  2. Step 2: Convert to fraction form
    5,140/7,274 = 7,274/x
  3. Step 3: Cross multiply
    5,140x = 7,274 × 7,274
  4. Step 4: Simplify right side
    5,140x = 52,911,076
  5. Step 5: Solve for x
    x = 52,911,076/5,140
  6. Step 6: Final answer
    x = 10,293.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.