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Finding the Third Proportional to 8,522,842 and 20,539,468

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Solution

The third proportional to 8,522,842 and 20,539,468 is: 49,498,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522,842 : 20,539,468 = 20,539,468 : x
  2. Step 2: Convert to fraction form
    8,522,842/20,539,468 = 20,539,468/x
  3. Step 3: Cross multiply
    8,522,842x = 20,539,468 × 20,539,468
  4. Step 4: Simplify right side
    8,522,842x = 421,869,745,723,024
  5. Step 5: Solve for x
    x = 421,869,745,723,024/8,522,842
  6. Step 6: Final answer
    x = 49,498,717.18

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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.