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Finding the Third Proportional to 205,860 and 297,307

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Solution

The third proportional to 205,860 and 297,307 is: 429,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,860 : 297,307 = 297,307 : x
  2. Step 2: Convert to fraction form
    205,860/297,307 = 297,307/x
  3. Step 3: Cross multiply
    205,860x = 297,307 × 297,307
  4. Step 4: Simplify right side
    205,860x = 88,391,452,249
  5. Step 5: Solve for x
    x = 88,391,452,249/205,860
  6. Step 6: Final answer
    x = 429,376.53

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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.