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Finding the Third Proportional to 199,569 and 286,894

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Solution

The third proportional to 199,569 and 286,894 is: 412,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,569 : 286,894 = 286,894 : x
  2. Step 2: Convert to fraction form
    199,569/286,894 = 286,894/x
  3. Step 3: Cross multiply
    199,569x = 286,894 × 286,894
  4. Step 4: Simplify right side
    199,569x = 82,308,167,236
  5. Step 5: Solve for x
    x = 82,308,167,236/199,569
  6. Step 6: Final answer
    x = 412,429.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.