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Finding the Third Proportional to 189,904 and 409,904

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Solution

The third proportional to 189,904 and 409,904 is: 884,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,904 : 409,904 = 409,904 : x
  2. Step 2: Convert to fraction form
    189,904/409,904 = 409,904/x
  3. Step 3: Cross multiply
    189,904x = 409,904 × 409,904
  4. Step 4: Simplify right side
    189,904x = 168,021,289,216
  5. Step 5: Solve for x
    x = 168,021,289,216/189,904
  6. Step 6: Final answer
    x = 884,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.