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Finding the Third Proportional to 101,125.13 and 158,625.84

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Solution

The third proportional to 101,125.13 and 158,625.84 is: 248,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,125.13 : 158,625.84 = 158,625.84 : x
  2. Step 2: Convert to fraction form
    101,125.13/158,625.84 = 158,625.84/x
  3. Step 3: Cross multiply
    101,125.13x = 158,625.84 × 158,625.84
  4. Step 4: Simplify right side
    101,125.13x = 25,162,158,305.40
  5. Step 5: Solve for x
    x = 25,162,158,305.40/101,125.13
  6. Step 6: Final answer
    x = 248,822.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.