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Finding the Third Proportional to 70,419.38 and 105,608.81

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Solution

The third proportional to 70,419.38 and 105,608.81 is: 158,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419.38 : 105,608.81 = 105,608.81 : x
  2. Step 2: Convert to fraction form
    70,419.38/105,608.81 = 105,608.81/x
  3. Step 3: Cross multiply
    70,419.38x = 105,608.81 × 105,608.81
  4. Step 4: Simplify right side
    70,419.38x = 11,153,221,277.66
  5. Step 5: Solve for x
    x = 11,153,221,277.66/70,419.38
  6. Step 6: Final answer
    x = 158,382.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.