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Finding the Third Proportional to 10,416 and 14,872

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Solution

The third proportional to 10,416 and 14,872 is: 21,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 14,872 = 14,872 : x
  2. Step 2: Convert to fraction form
    10,416/14,872 = 14,872/x
  3. Step 3: Cross multiply
    10,416x = 14,872 × 14,872
  4. Step 4: Simplify right side
    10,416x = 221,176,384
  5. Step 5: Solve for x
    x = 221,176,384/10,416
  6. Step 6: Final answer
    x = 21,234.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.