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Finding the Third Proportional to 231,364.97 and 515,899.13

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Solution

The third proportional to 231,364.97 and 515,899.13 is: 1,150,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,364.97 : 515,899.13 = 515,899.13 : x
  2. Step 2: Convert to fraction form
    231,364.97/515,899.13 = 515,899.13/x
  3. Step 3: Cross multiply
    231,364.97x = 515,899.13 × 515,899.13
  4. Step 4: Simplify right side
    231,364.97x = 266,151,907,175.77
  5. Step 5: Solve for x
    x = 266,151,907,175.77/231,364.97
  6. Step 6: Final answer
    x = 1,150,355.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.