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Finding the Third Proportional to 106,719 and 143,182.50

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Solution

The third proportional to 106,719 and 143,182.50 is: 192,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,719 : 143,182.50 = 143,182.50 : x
  2. Step 2: Convert to fraction form
    106,719/143,182.50 = 143,182.50/x
  3. Step 3: Cross multiply
    106,719x = 143,182.50 × 143,182.50
  4. Step 4: Simplify right side
    106,719x = 20,501,228,306.25
  5. Step 5: Solve for x
    x = 20,501,228,306.25/106,719
  6. Step 6: Final answer
    x = 192,104.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.