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Finding the Third Proportional to 200,982 and 310,919

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Solution

The third proportional to 200,982 and 310,919 is: 480,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,982 : 310,919 = 310,919 : x
  2. Step 2: Convert to fraction form
    200,982/310,919 = 310,919/x
  3. Step 3: Cross multiply
    200,982x = 310,919 × 310,919
  4. Step 4: Simplify right side
    200,982x = 96,670,624,561
  5. Step 5: Solve for x
    x = 96,670,624,561/200,982
  6. Step 6: Final answer
    x = 480,991.45

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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.