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Finding the Third Proportional to 51,374.25 and 78,519.38

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Solution

The third proportional to 51,374.25 and 78,519.38 is: 120,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,374.25 : 78,519.38 = 78,519.38 : x
  2. Step 2: Convert to fraction form
    51,374.25/78,519.38 = 78,519.38/x
  3. Step 3: Cross multiply
    51,374.25x = 78,519.38 × 78,519.38
  4. Step 4: Simplify right side
    51,374.25x = 6,165,292,250.39
  5. Step 5: Solve for x
    x = 6,165,292,250.39/51,374.25
  6. Step 6: Final answer
    x = 120,007.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.