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Finding the Third Proportional to 120,428.44 and 259,356.94

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Solution

The third proportional to 120,428.44 and 259,356.94 is: 558,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428.44 : 259,356.94 = 259,356.94 : x
  2. Step 2: Convert to fraction form
    120,428.44/259,356.94 = 259,356.94/x
  3. Step 3: Cross multiply
    120,428.44x = 259,356.94 × 259,356.94
  4. Step 4: Simplify right side
    120,428.44x = 67,266,021,029.38
  5. Step 5: Solve for x
    x = 67,266,021,029.38/120,428.44
  6. Step 6: Final answer
    x = 558,555.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.