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Finding the Third Proportional to 20,334,404 and 30,978,078.50

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Solution

The third proportional to 20,334,404 and 30,978,078.50 is: 47,192,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,334,404 : 30,978,078.50 = 30,978,078.50 : x
  2. Step 2: Convert to fraction form
    20,334,404/30,978,078.50 = 30,978,078.50/x
  3. Step 3: Cross multiply
    20,334,404x = 30,978,078.50 × 30,978,078.50
  4. Step 4: Simplify right side
    20,334,404x = 959,641,347,552,162.25
  5. Step 5: Solve for x
    x = 959,641,347,552,162.25/20,334,404
  6. Step 6: Final answer
    x = 47,192,991.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.