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Finding the Third Proportional to 66,480.75 and 139,932

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Solution

The third proportional to 66,480.75 and 139,932 is: 294,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480.75 : 139,932 = 139,932 : x
  2. Step 2: Convert to fraction form
    66,480.75/139,932 = 139,932/x
  3. Step 3: Cross multiply
    66,480.75x = 139,932 × 139,932
  4. Step 4: Simplify right side
    66,480.75x = 19,580,964,624
  5. Step 5: Solve for x
    x = 19,580,964,624/66,480.75
  6. Step 6: Final answer
    x = 294,535.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.