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Finding the Third Proportional to 20,055,975 and 31,003,978.50

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Solution

The third proportional to 20,055,975 and 31,003,978.50 is: 47,928,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055,975 : 31,003,978.50 = 31,003,978.50 : x
  2. Step 2: Convert to fraction form
    20,055,975/31,003,978.50 = 31,003,978.50/x
  3. Step 3: Cross multiply
    20,055,975x = 31,003,978.50 × 31,003,978.50
  4. Step 4: Simplify right side
    20,055,975x = 961,246,682,828,462.25
  5. Step 5: Solve for x
    x = 961,246,682,828,462.25/20,055,975
  6. Step 6: Final answer
    x = 47,928,195.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.