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Finding the Third Proportional to 66,496.50 and 144,063

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Solution

The third proportional to 66,496.50 and 144,063 is: 312,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496.50 : 144,063 = 144,063 : x
  2. Step 2: Convert to fraction form
    66,496.50/144,063 = 144,063/x
  3. Step 3: Cross multiply
    66,496.50x = 144,063 × 144,063
  4. Step 4: Simplify right side
    66,496.50x = 20,754,147,969
  5. Step 5: Solve for x
    x = 20,754,147,969/66,496.50
  6. Step 6: Final answer
    x = 312,108.88

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