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Finding the Third Proportional to 66,544.50 and 102,790

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Solution

The third proportional to 66,544.50 and 102,790 is: 158,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544.50 : 102,790 = 102,790 : x
  2. Step 2: Convert to fraction form
    66,544.50/102,790 = 102,790/x
  3. Step 3: Cross multiply
    66,544.50x = 102,790 × 102,790
  4. Step 4: Simplify right side
    66,544.50x = 10,565,784,100
  5. Step 5: Solve for x
    x = 10,565,784,100/66,544.50
  6. Step 6: Final answer
    x = 158,777.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.