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Finding the Third Proportional to 66,167 and 145,456

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Solution

The third proportional to 66,167 and 145,456 is: 319,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,167 : 145,456 = 145,456 : x
  2. Step 2: Convert to fraction form
    66,167/145,456 = 145,456/x
  3. Step 3: Cross multiply
    66,167x = 145,456 × 145,456
  4. Step 4: Simplify right side
    66,167x = 21,157,447,936
  5. Step 5: Solve for x
    x = 21,157,447,936/66,167
  6. Step 6: Final answer
    x = 319,758.31

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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.