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Finding the Third Proportional to 189,512 and 412,432

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Solution

The third proportional to 189,512 and 412,432 is: 897,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,512 : 412,432 = 412,432 : x
  2. Step 2: Convert to fraction form
    189,512/412,432 = 412,432/x
  3. Step 3: Cross multiply
    189,512x = 412,432 × 412,432
  4. Step 4: Simplify right side
    189,512x = 170,100,154,624
  5. Step 5: Solve for x
    x = 170,100,154,624/189,512
  6. Step 6: Final answer
    x = 897,569.31

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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.