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Finding the Third Proportional to 10,680 and 16,503.75

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Solution

The third proportional to 10,680 and 16,503.75 is: 25,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680 : 16,503.75 = 16,503.75 : x
  2. Step 2: Convert to fraction form
    10,680/16,503.75 = 16,503.75/x
  3. Step 3: Cross multiply
    10,680x = 16,503.75 × 16,503.75
  4. Step 4: Simplify right side
    10,680x = 272,373,764.06
  5. Step 5: Solve for x
    x = 272,373,764.06/10,680
  6. Step 6: Final answer
    x = 25,503.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.