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Finding the Third Proportional to 20,180,976 and 31,308,049

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Solution

The third proportional to 20,180,976 and 31,308,049 is: 48,570,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,976 : 31,308,049 = 31,308,049 : x
  2. Step 2: Convert to fraction form
    20,180,976/31,308,049 = 31,308,049/x
  3. Step 3: Cross multiply
    20,180,976x = 31,308,049 × 31,308,049
  4. Step 4: Simplify right side
    20,180,976x = 980,193,932,186,401
  5. Step 5: Solve for x
    x = 980,193,932,186,401/20,180,976
  6. Step 6: Final answer
    x = 48,570,194.63

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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.