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Finding the Third Proportional to 353,666 and 520,059

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Solution

The third proportional to 353,666 and 520,059 is: 764,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,666 : 520,059 = 520,059 : x
  2. Step 2: Convert to fraction form
    353,666/520,059 = 520,059/x
  3. Step 3: Cross multiply
    353,666x = 520,059 × 520,059
  4. Step 4: Simplify right side
    353,666x = 270,461,363,481
  5. Step 5: Solve for x
    x = 270,461,363,481/353,666
  6. Step 6: Final answer
    x = 764,736.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.