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Finding the Third Proportional to 408,701 and 613,188

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Solution

The third proportional to 408,701 and 613,188 is: 919,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,701 : 613,188 = 613,188 : x
  2. Step 2: Convert to fraction form
    408,701/613,188 = 613,188/x
  3. Step 3: Cross multiply
    408,701x = 613,188 × 613,188
  4. Step 4: Simplify right side
    408,701x = 375,999,523,344
  5. Step 5: Solve for x
    x = 375,999,523,344/408,701
  6. Step 6: Final answer
    x = 919,986.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.