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Finding the Third Proportional to 223,790 and 486,536

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Solution

The third proportional to 223,790 and 486,536 is: 1,057,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,790 : 486,536 = 486,536 : x
  2. Step 2: Convert to fraction form
    223,790/486,536 = 486,536/x
  3. Step 3: Cross multiply
    223,790x = 486,536 × 486,536
  4. Step 4: Simplify right side
    223,790x = 236,717,279,296
  5. Step 5: Solve for x
    x = 236,717,279,296/223,790
  6. Step 6: Final answer
    x = 1,057,765.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.