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Finding the Third Proportional to 335,728 and 520,611

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Solution

The third proportional to 335,728 and 520,611 is: 807,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,728 : 520,611 = 520,611 : x
  2. Step 2: Convert to fraction form
    335,728/520,611 = 520,611/x
  3. Step 3: Cross multiply
    335,728x = 520,611 × 520,611
  4. Step 4: Simplify right side
    335,728x = 271,035,813,321
  5. Step 5: Solve for x
    x = 271,035,813,321/335,728
  6. Step 6: Final answer
    x = 807,307.74

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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.