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Finding the Third Proportional to 66,612 and 144,972

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Solution

The third proportional to 66,612 and 144,972 is: 315,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,612 : 144,972 = 144,972 : x
  2. Step 2: Convert to fraction form
    66,612/144,972 = 144,972/x
  3. Step 3: Cross multiply
    66,612x = 144,972 × 144,972
  4. Step 4: Simplify right side
    66,612x = 21,016,880,784
  5. Step 5: Solve for x
    x = 21,016,880,784/66,612
  6. Step 6: Final answer
    x = 315,511.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.