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Finding the Third Proportional to 66,138.75 and 145,399.50

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Solution

The third proportional to 66,138.75 and 145,399.50 is: 319,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,138.75 : 145,399.50 = 145,399.50 : x
  2. Step 2: Convert to fraction form
    66,138.75/145,399.50 = 145,399.50/x
  3. Step 3: Cross multiply
    66,138.75x = 145,399.50 × 145,399.50
  4. Step 4: Simplify right side
    66,138.75x = 21,141,014,600.25
  5. Step 5: Solve for x
    x = 21,141,014,600.25/66,138.75
  6. Step 6: Final answer
    x = 319,646.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.