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Finding the Third Proportional to 66,109 and 100,711.50

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Solution

The third proportional to 66,109 and 100,711.50 is: 153,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,109 : 100,711.50 = 100,711.50 : x
  2. Step 2: Convert to fraction form
    66,109/100,711.50 = 100,711.50/x
  3. Step 3: Cross multiply
    66,109x = 100,711.50 × 100,711.50
  4. Step 4: Simplify right side
    66,109x = 10,142,806,232.25
  5. Step 5: Solve for x
    x = 10,142,806,232.25/66,109
  6. Step 6: Final answer
    x = 153,425.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.