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Finding the Third Proportional to 66,654.56 and 144,379.13

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Solution

The third proportional to 66,654.56 and 144,379.13 is: 312,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654.56 : 144,379.13 = 144,379.13 : x
  2. Step 2: Convert to fraction form
    66,654.56/144,379.13 = 144,379.13/x
  3. Step 3: Cross multiply
    66,654.56x = 144,379.13 × 144,379.13
  4. Step 4: Simplify right side
    66,654.56x = 20,845,331,735.77
  5. Step 5: Solve for x
    x = 20,845,331,735.77/66,654.56
  6. Step 6: Final answer
    x = 312,736.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.