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Finding the Third Proportional to 189,387 and 414,408

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Solution

The third proportional to 189,387 and 414,408 is: 906,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,387 : 414,408 = 414,408 : x
  2. Step 2: Convert to fraction form
    189,387/414,408 = 414,408/x
  3. Step 3: Cross multiply
    189,387x = 414,408 × 414,408
  4. Step 4: Simplify right side
    189,387x = 171,733,990,464
  5. Step 5: Solve for x
    x = 171,733,990,464/189,387
  6. Step 6: Final answer
    x = 906,788.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.