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Finding the Third Proportional to 20,497,861.27 and 31,431,896.86

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Solution

The third proportional to 20,497,861.27 and 31,431,896.86 is: 48,198,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497,861.27 : 31,431,896.86 = 31,431,896.86 : x
  2. Step 2: Convert to fraction form
    20,497,861.27/31,431,896.86 = 31,431,896.86/x
  3. Step 3: Cross multiply
    20,497,861.27x = 31,431,896.86 × 31,431,896.86
  4. Step 4: Simplify right side
    20,497,861.27x = 987,964,140,178,388
  5. Step 5: Solve for x
    x = 987,964,140,178,388/20,497,861.27
  6. Step 6: Final answer
    x = 48,198,401.16

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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.