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Finding the Third Proportional to 408,259 and 886,623

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Solution

The third proportional to 408,259 and 886,623 is: 1,925,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,259 : 886,623 = 886,623 : x
  2. Step 2: Convert to fraction form
    408,259/886,623 = 886,623/x
  3. Step 3: Cross multiply
    408,259x = 886,623 × 886,623
  4. Step 4: Simplify right side
    408,259x = 786,100,344,129
  5. Step 5: Solve for x
    x = 786,100,344,129/408,259
  6. Step 6: Final answer
    x = 1,925,494.22

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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.