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Finding the Third Proportional to 621,864 and 1,374,408

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Solution

The third proportional to 621,864 and 1,374,408 is: 3,037,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,864 : 1,374,408 = 1,374,408 : x
  2. Step 2: Convert to fraction form
    621,864/1,374,408 = 1,374,408/x
  3. Step 3: Cross multiply
    621,864x = 1,374,408 × 1,374,408
  4. Step 4: Simplify right side
    621,864x = 1,888,997,350,464
  5. Step 5: Solve for x
    x = 1,888,997,350,464/621,864
  6. Step 6: Final answer
    x = 3,037,637.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.