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Finding the Third Proportional to 51,073 and 108,410

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Solution

The third proportional to 51,073 and 108,410 is: 230,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,073 : 108,410 = 108,410 : x
  2. Step 2: Convert to fraction form
    51,073/108,410 = 108,410/x
  3. Step 3: Cross multiply
    51,073x = 108,410 × 108,410
  4. Step 4: Simplify right side
    51,073x = 11,752,728,100
  5. Step 5: Solve for x
    x = 11,752,728,100/51,073
  6. Step 6: Final answer
    x = 230,116.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.