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Finding the Third Proportional to 397,001.25 and 865,383.75

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Solution

The third proportional to 397,001.25 and 865,383.75 is: 1,886,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,001.25 : 865,383.75 = 865,383.75 : x
  2. Step 2: Convert to fraction form
    397,001.25/865,383.75 = 865,383.75/x
  3. Step 3: Cross multiply
    397,001.25x = 865,383.75 × 865,383.75
  4. Step 4: Simplify right side
    397,001.25x = 748,889,034,764.06
  5. Step 5: Solve for x
    x = 748,889,034,764.06/397,001.25
  6. Step 6: Final answer
    x = 1,886,364.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.