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Finding the Third Proportional to 70,991.44 and 105,872.06

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Solution

The third proportional to 70,991.44 and 105,872.06 is: 157,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,991.44 : 105,872.06 = 105,872.06 : x
  2. Step 2: Convert to fraction form
    70,991.44/105,872.06 = 105,872.06/x
  3. Step 3: Cross multiply
    70,991.44x = 105,872.06 × 105,872.06
  4. Step 4: Simplify right side
    70,991.44x = 11,208,893,618.00
  5. Step 5: Solve for x
    x = 11,208,893,618.00/70,991.44
  6. Step 6: Final answer
    x = 157,890.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.