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Finding the Third Proportional to 189,287 and 416,981

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Solution

The third proportional to 189,287 and 416,981 is: 918,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,287 : 416,981 = 416,981 : x
  2. Step 2: Convert to fraction form
    189,287/416,981 = 416,981/x
  3. Step 3: Cross multiply
    189,287x = 416,981 × 416,981
  4. Step 4: Simplify right side
    189,287x = 173,873,154,361
  5. Step 5: Solve for x
    x = 173,873,154,361/189,287
  6. Step 6: Final answer
    x = 918,568.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.