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Finding the Third Proportional to 66,450 and 145,356

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Solution

The third proportional to 66,450 and 145,356 is: 317,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,450 : 145,356 = 145,356 : x
  2. Step 2: Convert to fraction form
    66,450/145,356 = 145,356/x
  3. Step 3: Cross multiply
    66,450x = 145,356 × 145,356
  4. Step 4: Simplify right side
    66,450x = 21,128,366,736
  5. Step 5: Solve for x
    x = 21,128,366,736/66,450
  6. Step 6: Final answer
    x = 317,958.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.