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Finding the Third Proportional to 220,388 and 327,341

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Solution

The third proportional to 220,388 and 327,341 is: 486,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,388 : 327,341 = 327,341 : x
  2. Step 2: Convert to fraction form
    220,388/327,341 = 327,341/x
  3. Step 3: Cross multiply
    220,388x = 327,341 × 327,341
  4. Step 4: Simplify right side
    220,388x = 107,152,130,281
  5. Step 5: Solve for x
    x = 107,152,130,281/220,388
  6. Step 6: Final answer
    x = 486,197.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.