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Finding the Third Proportional to 221,676 and 480,396

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Solution

The third proportional to 221,676 and 480,396 is: 1,041,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,676 : 480,396 = 480,396 : x
  2. Step 2: Convert to fraction form
    221,676/480,396 = 480,396/x
  3. Step 3: Cross multiply
    221,676x = 480,396 × 480,396
  4. Step 4: Simplify right side
    221,676x = 230,780,316,816
  5. Step 5: Solve for x
    x = 230,780,316,816/221,676
  6. Step 6: Final answer
    x = 1,041,070.38

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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.