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Finding the Third Proportional to 205,866 and 297,313

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Solution

The third proportional to 205,866 and 297,313 is: 429,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,866 : 297,313 = 297,313 : x
  2. Step 2: Convert to fraction form
    205,866/297,313 = 297,313/x
  3. Step 3: Cross multiply
    205,866x = 297,313 × 297,313
  4. Step 4: Simplify right side
    205,866x = 88,395,019,969
  5. Step 5: Solve for x
    x = 88,395,019,969/205,866
  6. Step 6: Final answer
    x = 429,381.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.