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Finding the Third Proportional to 408,642 and 613,521

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Solution

The third proportional to 408,642 and 613,521 is: 921,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,642 : 613,521 = 613,521 : x
  2. Step 2: Convert to fraction form
    408,642/613,521 = 613,521/x
  3. Step 3: Cross multiply
    408,642x = 613,521 × 613,521
  4. Step 4: Simplify right side
    408,642x = 376,408,017,441
  5. Step 5: Solve for x
    x = 376,408,017,441/408,642
  6. Step 6: Final answer
    x = 921,119.26

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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.