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Finding the Third Proportional to 13,408 and 15,584

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Solution

The third proportional to 13,408 and 15,584 is: 18,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 15,584 = 15,584 : x
  2. Step 2: Convert to fraction form
    13,408/15,584 = 15,584/x
  3. Step 3: Cross multiply
    13,408x = 15,584 × 15,584
  4. Step 4: Simplify right side
    13,408x = 242,861,056
  5. Step 5: Solve for x
    x = 242,861,056/13,408
  6. Step 6: Final answer
    x = 18,113.15

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.