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Finding the Third Proportional to 189,804 and 291,049

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Solution

The third proportional to 189,804 and 291,049 is: 446,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,804 : 291,049 = 291,049 : x
  2. Step 2: Convert to fraction form
    189,804/291,049 = 291,049/x
  3. Step 3: Cross multiply
    189,804x = 291,049 × 291,049
  4. Step 4: Simplify right side
    189,804x = 84,709,520,401
  5. Step 5: Solve for x
    x = 84,709,520,401/189,804
  6. Step 6: Final answer
    x = 446,299.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.