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Finding the Third Proportional to 408,213 and 643,626

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Solution

The third proportional to 408,213 and 643,626 is: 1,014,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,213 : 643,626 = 643,626 : x
  2. Step 2: Convert to fraction form
    408,213/643,626 = 643,626/x
  3. Step 3: Cross multiply
    408,213x = 643,626 × 643,626
  4. Step 4: Simplify right side
    408,213x = 414,254,427,876
  5. Step 5: Solve for x
    x = 414,254,427,876/408,213
  6. Step 6: Final answer
    x = 1,014,799.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.