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Finding the Third Proportional to 200,911 and 312,393

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Solution

The third proportional to 200,911 and 312,393 is: 485,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911 : 312,393 = 312,393 : x
  2. Step 2: Convert to fraction form
    200,911/312,393 = 312,393/x
  3. Step 3: Cross multiply
    200,911x = 312,393 × 312,393
  4. Step 4: Simplify right side
    200,911x = 97,589,386,449
  5. Step 5: Solve for x
    x = 97,589,386,449/200,911
  6. Step 6: Final answer
    x = 485,734.41

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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.