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Finding the Third Proportional to 70,512.19 and 105,904.97

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Solution

The third proportional to 70,512.19 and 105,904.97 is: 159,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512.19 : 105,904.97 = 105,904.97 : x
  2. Step 2: Convert to fraction form
    70,512.19/105,904.97 = 105,904.97/x
  3. Step 3: Cross multiply
    70,512.19x = 105,904.97 × 105,904.97
  4. Step 4: Simplify right side
    70,512.19x = 11,215,862,405.94
  5. Step 5: Solve for x
    x = 11,215,862,405.94/70,512.19
  6. Step 6: Final answer
    x = 159,062.75

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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.