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Finding the Third Proportional to 69,437.25 and 105,129.56

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Solution

The third proportional to 69,437.25 and 105,129.56 is: 159,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,437.25 : 105,129.56 = 105,129.56 : x
  2. Step 2: Convert to fraction form
    69,437.25/105,129.56 = 105,129.56/x
  3. Step 3: Cross multiply
    69,437.25x = 105,129.56 × 105,129.56
  4. Step 4: Simplify right side
    69,437.25x = 11,052,224,911.44
  5. Step 5: Solve for x
    x = 11,052,224,911.44/69,437.25
  6. Step 6: Final answer
    x = 159,168.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.