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Finding the Third Proportional to 223,785 and 486,921

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Solution

The third proportional to 223,785 and 486,921 is: 1,059,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,785 : 486,921 = 486,921 : x
  2. Step 2: Convert to fraction form
    223,785/486,921 = 486,921/x
  3. Step 3: Cross multiply
    223,785x = 486,921 × 486,921
  4. Step 4: Simplify right side
    223,785x = 237,092,060,241
  5. Step 5: Solve for x
    x = 237,092,060,241/223,785
  6. Step 6: Final answer
    x = 1,059,463.59

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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.