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Finding the Third Proportional to 3,484 and 5,432

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Solution

The third proportional to 3,484 and 5,432 is: 8,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484 : 5,432 = 5,432 : x
  2. Step 2: Convert to fraction form
    3,484/5,432 = 5,432/x
  3. Step 3: Cross multiply
    3,484x = 5,432 × 5,432
  4. Step 4: Simplify right side
    3,484x = 29,506,624
  5. Step 5: Solve for x
    x = 29,506,624/3,484
  6. Step 6: Final answer
    x = 8,469.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.