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Finding the Third Proportional to 200,873 and 310,894

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Solution

The third proportional to 200,873 and 310,894 is: 481,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873 : 310,894 = 310,894 : x
  2. Step 2: Convert to fraction form
    200,873/310,894 = 310,894/x
  3. Step 3: Cross multiply
    200,873x = 310,894 × 310,894
  4. Step 4: Simplify right side
    200,873x = 96,655,079,236
  5. Step 5: Solve for x
    x = 96,655,079,236/200,873
  6. Step 6: Final answer
    x = 481,175.07

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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.