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Finding the Third Proportional to 351,268 and 520,806

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Solution

The third proportional to 351,268 and 520,806 is: 772,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,268 : 520,806 = 520,806 : x
  2. Step 2: Convert to fraction form
    351,268/520,806 = 520,806/x
  3. Step 3: Cross multiply
    351,268x = 520,806 × 520,806
  4. Step 4: Simplify right side
    351,268x = 271,238,889,636
  5. Step 5: Solve for x
    x = 271,238,889,636/351,268
  6. Step 6: Final answer
    x = 772,170.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.