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Finding the Third Proportional to 189,376 and 414,388

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Solution

The third proportional to 189,376 and 414,388 is: 906,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,376 : 414,388 = 414,388 : x
  2. Step 2: Convert to fraction form
    189,376/414,388 = 414,388/x
  3. Step 3: Cross multiply
    189,376x = 414,388 × 414,388
  4. Step 4: Simplify right side
    189,376x = 171,717,414,544
  5. Step 5: Solve for x
    x = 171,717,414,544/189,376
  6. Step 6: Final answer
    x = 906,753.84

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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.