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Finding the Third Proportional to 189,397 and 420,832

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Solution

The third proportional to 189,397 and 420,832 is: 935,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,397 : 420,832 = 420,832 : x
  2. Step 2: Convert to fraction form
    189,397/420,832 = 420,832/x
  3. Step 3: Cross multiply
    189,397x = 420,832 × 420,832
  4. Step 4: Simplify right side
    189,397x = 177,099,572,224
  5. Step 5: Solve for x
    x = 177,099,572,224/189,397
  6. Step 6: Final answer
    x = 935,070.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.