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Finding the Third Proportional to 120,805.17 and 272,936.46

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Solution

The third proportional to 120,805.17 and 272,936.46 is: 616,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.17 : 272,936.46 = 272,936.46 : x
  2. Step 2: Convert to fraction form
    120,805.17/272,936.46 = 272,936.46/x
  3. Step 3: Cross multiply
    120,805.17x = 272,936.46 × 272,936.46
  4. Step 4: Simplify right side
    120,805.17x = 74,494,311,709.09
  5. Step 5: Solve for x
    x = 74,494,311,709.09/120,805.17
  6. Step 6: Final answer
    x = 616,648.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.