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Finding the Third Proportional to 47,489 and 103,412

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Solution

The third proportional to 47,489 and 103,412 is: 225,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,489 : 103,412 = 103,412 : x
  2. Step 2: Convert to fraction form
    47,489/103,412 = 103,412/x
  3. Step 3: Cross multiply
    47,489x = 103,412 × 103,412
  4. Step 4: Simplify right side
    47,489x = 10,694,041,744
  5. Step 5: Solve for x
    x = 10,694,041,744/47,489
  6. Step 6: Final answer
    x = 225,189.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.