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Finding the Third Proportional to 200,928 and 310,839

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Solution

The third proportional to 200,928 and 310,839 is: 480,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,928 : 310,839 = 310,839 : x
  2. Step 2: Convert to fraction form
    200,928/310,839 = 310,839/x
  3. Step 3: Cross multiply
    200,928x = 310,839 × 310,839
  4. Step 4: Simplify right side
    200,928x = 96,620,883,921
  5. Step 5: Solve for x
    x = 96,620,883,921/200,928
  6. Step 6: Final answer
    x = 480,873.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.