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Finding the Third Proportional to 189,289 and 416,986

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Solution

The third proportional to 189,289 and 416,986 is: 918,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,289 : 416,986 = 416,986 : x
  2. Step 2: Convert to fraction form
    189,289/416,986 = 416,986/x
  3. Step 3: Cross multiply
    189,289x = 416,986 × 416,986
  4. Step 4: Simplify right side
    189,289x = 173,877,324,196
  5. Step 5: Solve for x
    x = 173,877,324,196/189,289
  6. Step 6: Final answer
    x = 918,581.24

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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.