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Finding the Third Proportional to 263,639 and 408,566

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Solution

The third proportional to 263,639 and 408,566 is: 633,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,639 : 408,566 = 408,566 : x
  2. Step 2: Convert to fraction form
    263,639/408,566 = 408,566/x
  3. Step 3: Cross multiply
    263,639x = 408,566 × 408,566
  4. Step 4: Simplify right side
    263,639x = 166,926,176,356
  5. Step 5: Solve for x
    x = 166,926,176,356/263,639
  6. Step 6: Final answer
    x = 633,161.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.