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Finding the Third Proportional to 189,110 and 409,719

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Solution

The third proportional to 189,110 and 409,719 is: 887,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,110 : 409,719 = 409,719 : x
  2. Step 2: Convert to fraction form
    189,110/409,719 = 409,719/x
  3. Step 3: Cross multiply
    189,110x = 409,719 × 409,719
  4. Step 4: Simplify right side
    189,110x = 167,869,658,961
  5. Step 5: Solve for x
    x = 167,869,658,961/189,110
  6. Step 6: Final answer
    x = 887,682.61

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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.