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Finding the Third Proportional to 4,261,247 and 9,120,774.50

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Solution

The third proportional to 4,261,247 and 9,120,774.50 is: 19,522,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261,247 : 9,120,774.50 = 9,120,774.50 : x
  2. Step 2: Convert to fraction form
    4,261,247/9,120,774.50 = 9,120,774.50/x
  3. Step 3: Cross multiply
    4,261,247x = 9,120,774.50 × 9,120,774.50
  4. Step 4: Simplify right side
    4,261,247x = 83,188,527,479,850.25
  5. Step 5: Solve for x
    x = 83,188,527,479,850.25/4,261,247
  6. Step 6: Final answer
    x = 19,522,108.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.