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Finding the Third Proportional to 20,864,940 and 31,916,997.75

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Solution

The third proportional to 20,864,940 and 31,916,997.75 is: 48,823,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864,940 : 31,916,997.75 = 31,916,997.75 : x
  2. Step 2: Convert to fraction form
    20,864,940/31,916,997.75 = 31,916,997.75/x
  3. Step 3: Cross multiply
    20,864,940x = 31,916,997.75 × 31,916,997.75
  4. Step 4: Simplify right side
    20,864,940x = 1,018,694,745,373,505
  5. Step 5: Solve for x
    x = 1,018,694,745,373,505/20,864,940
  6. Step 6: Final answer
    x = 48,823,277.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.