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Finding the Third Proportional to 66,467.25 and 140,440.50

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Solution

The third proportional to 66,467.25 and 140,440.50 is: 296,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,467.25 : 140,440.50 = 140,440.50 : x
  2. Step 2: Convert to fraction form
    66,467.25/140,440.50 = 140,440.50/x
  3. Step 3: Cross multiply
    66,467.25x = 140,440.50 × 140,440.50
  4. Step 4: Simplify right side
    66,467.25x = 19,723,534,040.25
  5. Step 5: Solve for x
    x = 19,723,534,040.25/66,467.25
  6. Step 6: Final answer
    x = 296,740.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.