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Finding the Third Proportional to 20,440,781 and 31,418,889

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Solution

The third proportional to 20,440,781 and 31,418,889 is: 48,292,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440,781 : 31,418,889 = 31,418,889 : x
  2. Step 2: Convert to fraction form
    20,440,781/31,418,889 = 31,418,889/x
  3. Step 3: Cross multiply
    20,440,781x = 31,418,889 × 31,418,889
  4. Step 4: Simplify right side
    20,440,781x = 987,146,585,994,321
  5. Step 5: Solve for x
    x = 987,146,585,994,321/20,440,781
  6. Step 6: Final answer
    x = 48,292,997.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.