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Finding the Third Proportional to 306,882 and 471,021

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Solution

The third proportional to 306,882 and 471,021 is: 722,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,882 : 471,021 = 471,021 : x
  2. Step 2: Convert to fraction form
    306,882/471,021 = 471,021/x
  3. Step 3: Cross multiply
    306,882x = 471,021 × 471,021
  4. Step 4: Simplify right side
    306,882x = 221,860,782,441
  5. Step 5: Solve for x
    x = 221,860,782,441/306,882
  6. Step 6: Final answer
    x = 722,951.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.