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Finding the Third Proportional to 223,321 and 486,728

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Solution

The third proportional to 223,321 and 486,728 is: 1,060,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,321 : 486,728 = 486,728 : x
  2. Step 2: Convert to fraction form
    223,321/486,728 = 486,728/x
  3. Step 3: Cross multiply
    223,321x = 486,728 × 486,728
  4. Step 4: Simplify right side
    223,321x = 236,904,145,984
  5. Step 5: Solve for x
    x = 236,904,145,984/223,321
  6. Step 6: Final answer
    x = 1,060,823.42

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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.