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Finding the Third Proportional to 431,109 and 652,626

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Solution

The third proportional to 431,109 and 652,626 is: 987,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,109 : 652,626 = 652,626 : x
  2. Step 2: Convert to fraction form
    431,109/652,626 = 652,626/x
  3. Step 3: Cross multiply
    431,109x = 652,626 × 652,626
  4. Step 4: Simplify right side
    431,109x = 425,920,695,876
  5. Step 5: Solve for x
    x = 425,920,695,876/431,109
  6. Step 6: Final answer
    x = 987,965.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.