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Finding the Third Proportional to 220,866 and 480,396

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Solution

The third proportional to 220,866 and 480,396 is: 1,044,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,866 : 480,396 = 480,396 : x
  2. Step 2: Convert to fraction form
    220,866/480,396 = 480,396/x
  3. Step 3: Cross multiply
    220,866x = 480,396 × 480,396
  4. Step 4: Simplify right side
    220,866x = 230,780,316,816
  5. Step 5: Solve for x
    x = 230,780,316,816/220,866
  6. Step 6: Final answer
    x = 1,044,888.38

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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.