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Finding the Third Proportional to 347,298 and 520,851

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Solution

The third proportional to 347,298 and 520,851 is: 781,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,298 : 520,851 = 520,851 : x
  2. Step 2: Convert to fraction form
    347,298/520,851 = 520,851/x
  3. Step 3: Cross multiply
    347,298x = 520,851 × 520,851
  4. Step 4: Simplify right side
    347,298x = 271,285,764,201
  5. Step 5: Solve for x
    x = 271,285,764,201/347,298
  6. Step 6: Final answer
    x = 781,132.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.