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Finding the Third Proportional to 51,912 and 81,325.13

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Solution

The third proportional to 51,912 and 81,325.13 is: 127,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912 : 81,325.13 = 81,325.13 : x
  2. Step 2: Convert to fraction form
    51,912/81,325.13 = 81,325.13/x
  3. Step 3: Cross multiply
    51,912x = 81,325.13 × 81,325.13
  4. Step 4: Simplify right side
    51,912x = 6,613,775,956.27
  5. Step 5: Solve for x
    x = 6,613,775,956.27/51,912
  6. Step 6: Final answer
    x = 127,403.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.