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Finding the Third Proportional to 189,540 and 402,408

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Solution

The third proportional to 189,540 and 402,408 is: 854,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,540 : 402,408 = 402,408 : x
  2. Step 2: Convert to fraction form
    189,540/402,408 = 402,408/x
  3. Step 3: Cross multiply
    189,540x = 402,408 × 402,408
  4. Step 4: Simplify right side
    189,540x = 161,932,198,464
  5. Step 5: Solve for x
    x = 161,932,198,464/189,540
  6. Step 6: Final answer
    x = 854,343.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.