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Finding the Third Proportional to 263,603 and 408,513

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Solution

The third proportional to 263,603 and 408,513 is: 633,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,603 : 408,513 = 408,513 : x
  2. Step 2: Convert to fraction form
    263,603/408,513 = 408,513/x
  3. Step 3: Cross multiply
    263,603x = 408,513 × 408,513
  4. Step 4: Simplify right side
    263,603x = 166,882,871,169
  5. Step 5: Solve for x
    x = 166,882,871,169/263,603
  6. Step 6: Final answer
    x = 633,084.11

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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.