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Finding the Third Proportional to 189,469 and 286,172

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Solution

The third proportional to 189,469 and 286,172 is: 432,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469 : 286,172 = 286,172 : x
  2. Step 2: Convert to fraction form
    189,469/286,172 = 286,172/x
  3. Step 3: Cross multiply
    189,469x = 286,172 × 286,172
  4. Step 4: Simplify right side
    189,469x = 81,894,413,584
  5. Step 5: Solve for x
    x = 81,894,413,584/189,469
  6. Step 6: Final answer
    x = 432,231.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.