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Finding the Third Proportional to 66,871 and 145,736

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Solution

The third proportional to 66,871 and 145,736 is: 317,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,871 : 145,736 = 145,736 : x
  2. Step 2: Convert to fraction form
    66,871/145,736 = 145,736/x
  3. Step 3: Cross multiply
    66,871x = 145,736 × 145,736
  4. Step 4: Simplify right side
    66,871x = 21,238,981,696
  5. Step 5: Solve for x
    x = 21,238,981,696/66,871
  6. Step 6: Final answer
    x = 317,611.25

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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.