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Finding the Third Proportional to 66,601.50 and 142,680

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Solution

The third proportional to 66,601.50 and 142,680 is: 305,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,601.50 : 142,680 = 142,680 : x
  2. Step 2: Convert to fraction form
    66,601.50/142,680 = 142,680/x
  3. Step 3: Cross multiply
    66,601.50x = 142,680 × 142,680
  4. Step 4: Simplify right side
    66,601.50x = 20,357,582,400
  5. Step 5: Solve for x
    x = 20,357,582,400/66,601.50
  6. Step 6: Final answer
    x = 305,662.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.