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Finding the Third Proportional to 200,590 and 282,231

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Solution

The third proportional to 200,590 and 282,231 is: 397,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,590 : 282,231 = 282,231 : x
  2. Step 2: Convert to fraction form
    200,590/282,231 = 282,231/x
  3. Step 3: Cross multiply
    200,590x = 282,231 × 282,231
  4. Step 4: Simplify right side
    200,590x = 79,654,337,361
  5. Step 5: Solve for x
    x = 79,654,337,361/200,590
  6. Step 6: Final answer
    x = 397,100.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.