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Finding the Third Proportional to 10,248 and 13,508

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Solution

The third proportional to 10,248 and 13,508 is: 17,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248 : 13,508 = 13,508 : x
  2. Step 2: Convert to fraction form
    10,248/13,508 = 13,508/x
  3. Step 3: Cross multiply
    10,248x = 13,508 × 13,508
  4. Step 4: Simplify right side
    10,248x = 182,466,064
  5. Step 5: Solve for x
    x = 182,466,064/10,248
  6. Step 6: Final answer
    x = 17,805.04

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.