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Finding the Third Proportional to 391,842 and 800,289

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Solution

The third proportional to 391,842 and 800,289 is: 1,634,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,842 : 800,289 = 800,289 : x
  2. Step 2: Convert to fraction form
    391,842/800,289 = 800,289/x
  3. Step 3: Cross multiply
    391,842x = 800,289 × 800,289
  4. Step 4: Simplify right side
    391,842x = 640,462,483,521
  5. Step 5: Solve for x
    x = 640,462,483,521/391,842
  6. Step 6: Final answer
    x = 1,634,491.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.