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Finding the Third Proportional to 408,699 and 613,185

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Solution

The third proportional to 408,699 and 613,185 is: 919,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,699 : 613,185 = 613,185 : x
  2. Step 2: Convert to fraction form
    408,699/613,185 = 613,185/x
  3. Step 3: Cross multiply
    408,699x = 613,185 × 613,185
  4. Step 4: Simplify right side
    408,699x = 375,995,844,225
  5. Step 5: Solve for x
    x = 375,995,844,225/408,699
  6. Step 6: Final answer
    x = 919,982.30

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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.