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Finding the Third Proportional to 374,608 and 811,424

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Solution

The third proportional to 374,608 and 811,424 is: 1,757,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,608 : 811,424 = 811,424 : x
  2. Step 2: Convert to fraction form
    374,608/811,424 = 811,424/x
  3. Step 3: Cross multiply
    374,608x = 811,424 × 811,424
  4. Step 4: Simplify right side
    374,608x = 658,408,907,776
  5. Step 5: Solve for x
    x = 658,408,907,776/374,608
  6. Step 6: Final answer
    x = 1,757,594.36

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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.