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Finding the Third Proportional to 5,385 and 7,274

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Solution

The third proportional to 5,385 and 7,274 is: 9,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385 : 7,274 = 7,274 : x
  2. Step 2: Convert to fraction form
    5,385/7,274 = 7,274/x
  3. Step 3: Cross multiply
    5,385x = 7,274 × 7,274
  4. Step 4: Simplify right side
    5,385x = 52,911,076
  5. Step 5: Solve for x
    x = 52,911,076/5,385
  6. Step 6: Final answer
    x = 9,825.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.