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Finding the Third Proportional to 189,372 and 410,928

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Solution

The third proportional to 189,372 and 410,928 is: 891,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,372 : 410,928 = 410,928 : x
  2. Step 2: Convert to fraction form
    189,372/410,928 = 410,928/x
  3. Step 3: Cross multiply
    189,372x = 410,928 × 410,928
  4. Step 4: Simplify right side
    189,372x = 168,861,821,184
  5. Step 5: Solve for x
    x = 168,861,821,184/189,372
  6. Step 6: Final answer
    x = 891,693.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.