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Finding the Third Proportional to 75,427.78 and 103,902.56

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Solution

The third proportional to 75,427.78 and 103,902.56 is: 143,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,427.78 : 103,902.56 = 103,902.56 : x
  2. Step 2: Convert to fraction form
    75,427.78/103,902.56 = 103,902.56/x
  3. Step 3: Cross multiply
    75,427.78x = 103,902.56 × 103,902.56
  4. Step 4: Simplify right side
    75,427.78x = 10,795,742,494.07
  5. Step 5: Solve for x
    x = 10,795,742,494.07/75,427.78
  6. Step 6: Final answer
    x = 143,126.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.