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Finding the Third Proportional to 9,890,280 and 20,538,234

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Solution

The third proportional to 9,890,280 and 20,538,234 is: 42,649,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890,280 : 20,538,234 = 20,538,234 : x
  2. Step 2: Convert to fraction form
    9,890,280/20,538,234 = 20,538,234/x
  3. Step 3: Cross multiply
    9,890,280x = 20,538,234 × 20,538,234
  4. Step 4: Simplify right side
    9,890,280x = 421,819,055,838,756
  5. Step 5: Solve for x
    x = 421,819,055,838,756/9,890,280
  6. Step 6: Final answer
    x = 42,649,859.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.