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Finding the Third Proportional to 200,970 and 310,901

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Solution

The third proportional to 200,970 and 310,901 is: 480,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,970 : 310,901 = 310,901 : x
  2. Step 2: Convert to fraction form
    200,970/310,901 = 310,901/x
  3. Step 3: Cross multiply
    200,970x = 310,901 × 310,901
  4. Step 4: Simplify right side
    200,970x = 96,659,431,801
  5. Step 5: Solve for x
    x = 96,659,431,801/200,970
  6. Step 6: Final answer
    x = 480,964.48

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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.