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Finding the Third Proportional to 101,883 and 140,773.50

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Solution

The third proportional to 101,883 and 140,773.50 is: 194,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,883 : 140,773.50 = 140,773.50 : x
  2. Step 2: Convert to fraction form
    101,883/140,773.50 = 140,773.50/x
  3. Step 3: Cross multiply
    101,883x = 140,773.50 × 140,773.50
  4. Step 4: Simplify right side
    101,883x = 19,817,178,302.25
  5. Step 5: Solve for x
    x = 19,817,178,302.25/101,883
  6. Step 6: Final answer
    x = 194,509.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.