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Finding the Third Proportional to 10,400 and 14,816

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Solution

The third proportional to 10,400 and 14,816 is: 21,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 14,816 = 14,816 : x
  2. Step 2: Convert to fraction form
    10,400/14,816 = 14,816/x
  3. Step 3: Cross multiply
    10,400x = 14,816 × 14,816
  4. Step 4: Simplify right side
    10,400x = 219,513,856
  5. Step 5: Solve for x
    x = 219,513,856/10,400
  6. Step 6: Final answer
    x = 21,107.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.