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Finding the Third Proportional to 189,920 and 409,928

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Solution

The third proportional to 189,920 and 409,928 is: 884,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,920 : 409,928 = 409,928 : x
  2. Step 2: Convert to fraction form
    189,920/409,928 = 409,928/x
  3. Step 3: Cross multiply
    189,920x = 409,928 × 409,928
  4. Step 4: Simplify right side
    189,920x = 168,040,965,184
  5. Step 5: Solve for x
    x = 168,040,965,184/189,920
  6. Step 6: Final answer
    x = 884,798.68

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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.