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Finding the Third Proportional to 211,306 and 287,799

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Solution

The third proportional to 211,306 and 287,799 is: 391,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,306 : 287,799 = 287,799 : x
  2. Step 2: Convert to fraction form
    211,306/287,799 = 287,799/x
  3. Step 3: Cross multiply
    211,306x = 287,799 × 287,799
  4. Step 4: Simplify right side
    211,306x = 82,828,264,401
  5. Step 5: Solve for x
    x = 82,828,264,401/211,306
  6. Step 6: Final answer
    x = 391,982.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.