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Finding the Third Proportional to 373,421 and 809,851

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Solution

The third proportional to 373,421 and 809,851 is: 1,756,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,421 : 809,851 = 809,851 : x
  2. Step 2: Convert to fraction form
    373,421/809,851 = 809,851/x
  3. Step 3: Cross multiply
    373,421x = 809,851 × 809,851
  4. Step 4: Simplify right side
    373,421x = 655,858,642,201
  5. Step 5: Solve for x
    x = 655,858,642,201/373,421
  6. Step 6: Final answer
    x = 1,756,351.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.