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Finding the Third Proportional to 70,125 and 105,930

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Solution

The third proportional to 70,125 and 105,930 is: 160,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125 : 105,930 = 105,930 : x
  2. Step 2: Convert to fraction form
    70,125/105,930 = 105,930/x
  3. Step 3: Cross multiply
    70,125x = 105,930 × 105,930
  4. Step 4: Simplify right side
    70,125x = 11,221,164,900
  5. Step 5: Solve for x
    x = 11,221,164,900/70,125
  6. Step 6: Final answer
    x = 160,016.61

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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.