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Finding the Third Proportional to 254,778 and 520,611

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Solution

The third proportional to 254,778 and 520,611 is: 1,063,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,778 : 520,611 = 520,611 : x
  2. Step 2: Convert to fraction form
    254,778/520,611 = 520,611/x
  3. Step 3: Cross multiply
    254,778x = 520,611 × 520,611
  4. Step 4: Simplify right side
    254,778x = 271,035,813,321
  5. Step 5: Solve for x
    x = 271,035,813,321/254,778
  6. Step 6: Final answer
    x = 1,063,811.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.