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Finding the Third Proportional to 66,808 and 145,016

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Solution

The third proportional to 66,808 and 145,016 is: 314,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,808 : 145,016 = 145,016 : x
  2. Step 2: Convert to fraction form
    66,808/145,016 = 145,016/x
  3. Step 3: Cross multiply
    66,808x = 145,016 × 145,016
  4. Step 4: Simplify right side
    66,808x = 21,029,640,256
  5. Step 5: Solve for x
    x = 21,029,640,256/66,808
  6. Step 6: Final answer
    x = 314,777.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.