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Finding the Third Proportional to 101,856 and 158,610

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Solution

The third proportional to 101,856 and 158,610 is: 246,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856 : 158,610 = 158,610 : x
  2. Step 2: Convert to fraction form
    101,856/158,610 = 158,610/x
  3. Step 3: Cross multiply
    101,856x = 158,610 × 158,610
  4. Step 4: Simplify right side
    101,856x = 25,157,132,100
  5. Step 5: Solve for x
    x = 25,157,132,100/101,856
  6. Step 6: Final answer
    x = 246,987.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.