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Finding the Third Proportional to 335,729 and 520,613

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Solution

The third proportional to 335,729 and 520,613 is: 807,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,729 : 520,613 = 520,613 : x
  2. Step 2: Convert to fraction form
    335,729/520,613 = 520,613/x
  3. Step 3: Cross multiply
    335,729x = 520,613 × 520,613
  4. Step 4: Simplify right side
    335,729x = 271,037,895,769
  5. Step 5: Solve for x
    x = 271,037,895,769/335,729
  6. Step 6: Final answer
    x = 807,311.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.