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Finding the Third Proportional to 225,811 and 486,872

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Solution

The third proportional to 225,811 and 486,872 is: 1,049,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811 : 486,872 = 486,872 : x
  2. Step 2: Convert to fraction form
    225,811/486,872 = 486,872/x
  3. Step 3: Cross multiply
    225,811x = 486,872 × 486,872
  4. Step 4: Simplify right side
    225,811x = 237,044,344,384
  5. Step 5: Solve for x
    x = 237,044,344,384/225,811
  6. Step 6: Final answer
    x = 1,049,746.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.