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Finding the Third Proportional to 200,294 and 281,730

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Solution

The third proportional to 200,294 and 281,730 is: 396,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,294 : 281,730 = 281,730 : x
  2. Step 2: Convert to fraction form
    200,294/281,730 = 281,730/x
  3. Step 3: Cross multiply
    200,294x = 281,730 × 281,730
  4. Step 4: Simplify right side
    200,294x = 79,371,792,900
  5. Step 5: Solve for x
    x = 79,371,792,900/200,294
  6. Step 6: Final answer
    x = 396,276.44

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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.