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Finding the Third Proportional to 10,920 and 16,708

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Solution

The third proportional to 10,920 and 16,708 is: 25,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920 : 16,708 = 16,708 : x
  2. Step 2: Convert to fraction form
    10,920/16,708 = 16,708/x
  3. Step 3: Cross multiply
    10,920x = 16,708 × 16,708
  4. Step 4: Simplify right side
    10,920x = 279,157,264
  5. Step 5: Solve for x
    x = 279,157,264/10,920
  6. Step 6: Final answer
    x = 25,563.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.