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Finding the Third Proportional to 189,515 and 412,438

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Solution

The third proportional to 189,515 and 412,438 is: 897,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,515 : 412,438 = 412,438 : x
  2. Step 2: Convert to fraction form
    189,515/412,438 = 412,438/x
  3. Step 3: Cross multiply
    189,515x = 412,438 × 412,438
  4. Step 4: Simplify right side
    189,515x = 170,105,103,844
  5. Step 5: Solve for x
    x = 170,105,103,844/189,515
  6. Step 6: Final answer
    x = 897,581.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.