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Finding the Third Proportional to 51,489 and 112,819

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Solution

The third proportional to 51,489 and 112,819 is: 247,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489 : 112,819 = 112,819 : x
  2. Step 2: Convert to fraction form
    51,489/112,819 = 112,819/x
  3. Step 3: Cross multiply
    51,489x = 112,819 × 112,819
  4. Step 4: Simplify right side
    51,489x = 12,728,126,761
  5. Step 5: Solve for x
    x = 12,728,126,761/51,489
  6. Step 6: Final answer
    x = 247,200.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.