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Finding the Third Proportional to 8,522,840 and 20,539,463

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Solution

The third proportional to 8,522,840 and 20,539,463 is: 49,498,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522,840 : 20,539,463 = 20,539,463 : x
  2. Step 2: Convert to fraction form
    8,522,840/20,539,463 = 20,539,463/x
  3. Step 3: Cross multiply
    8,522,840x = 20,539,463 × 20,539,463
  4. Step 4: Simplify right side
    8,522,840x = 421,869,540,328,369
  5. Step 5: Solve for x
    x = 421,869,540,328,369/8,522,840
  6. Step 6: Final answer
    x = 49,498,704.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.