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Finding the Third Proportional to 6,872 and 14,470

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Solution

The third proportional to 6,872 and 14,470 is: 30,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872 : 14,470 = 14,470 : x
  2. Step 2: Convert to fraction form
    6,872/14,470 = 14,470/x
  3. Step 3: Cross multiply
    6,872x = 14,470 × 14,470
  4. Step 4: Simplify right side
    6,872x = 209,380,900
  5. Step 5: Solve for x
    x = 209,380,900/6,872
  6. Step 6: Final answer
    x = 30,468.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.