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Finding the Third Proportional to 200,930 and 313,539

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Solution

The third proportional to 200,930 and 313,539 is: 489,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,930 : 313,539 = 313,539 : x
  2. Step 2: Convert to fraction form
    200,930/313,539 = 313,539/x
  3. Step 3: Cross multiply
    200,930x = 313,539 × 313,539
  4. Step 4: Simplify right side
    200,930x = 98,306,704,521
  5. Step 5: Solve for x
    x = 98,306,704,521/200,930
  6. Step 6: Final answer
    x = 489,258.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.