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Finding the Third Proportional to 223,416 and 486,144

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Solution

The third proportional to 223,416 and 486,144 is: 1,057,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,416 : 486,144 = 486,144 : x
  2. Step 2: Convert to fraction form
    223,416/486,144 = 486,144/x
  3. Step 3: Cross multiply
    223,416x = 486,144 × 486,144
  4. Step 4: Simplify right side
    223,416x = 236,335,988,736
  5. Step 5: Solve for x
    x = 236,335,988,736/223,416
  6. Step 6: Final answer
    x = 1,057,829.29

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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.