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Finding the Third Proportional to 200,976 and 310,910

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Solution

The third proportional to 200,976 and 310,910 is: 480,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976 : 310,910 = 310,910 : x
  2. Step 2: Convert to fraction form
    200,976/310,910 = 310,910/x
  3. Step 3: Cross multiply
    200,976x = 310,910 × 310,910
  4. Step 4: Simplify right side
    200,976x = 96,665,028,100
  5. Step 5: Solve for x
    x = 96,665,028,100/200,976
  6. Step 6: Final answer
    x = 480,977.97

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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.