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Finding the Third Proportional to 66,993 and 147,135

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Solution

The third proportional to 66,993 and 147,135 is: 323,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,993 : 147,135 = 147,135 : x
  2. Step 2: Convert to fraction form
    66,993/147,135 = 147,135/x
  3. Step 3: Cross multiply
    66,993x = 147,135 × 147,135
  4. Step 4: Simplify right side
    66,993x = 21,648,708,225
  5. Step 5: Solve for x
    x = 21,648,708,225/66,993
  6. Step 6: Final answer
    x = 323,148.81

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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.