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Finding the Third Proportional to 272,805.75 and 643,077

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Solution

The third proportional to 272,805.75 and 643,077 is: 1,515,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,805.75 : 643,077 = 643,077 : x
  2. Step 2: Convert to fraction form
    272,805.75/643,077 = 643,077/x
  3. Step 3: Cross multiply
    272,805.75x = 643,077 × 643,077
  4. Step 4: Simplify right side
    272,805.75x = 413,548,027,929
  5. Step 5: Solve for x
    x = 413,548,027,929/272,805.75
  6. Step 6: Final answer
    x = 1,515,906.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.