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Finding the Third Proportional to 66,481.50 and 142,707

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Solution

The third proportional to 66,481.50 and 142,707 is: 306,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,481.50 : 142,707 = 142,707 : x
  2. Step 2: Convert to fraction form
    66,481.50/142,707 = 142,707/x
  3. Step 3: Cross multiply
    66,481.50x = 142,707 × 142,707
  4. Step 4: Simplify right side
    66,481.50x = 20,365,287,849
  5. Step 5: Solve for x
    x = 20,365,287,849/66,481.50
  6. Step 6: Final answer
    x = 306,330.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.