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Finding the Third Proportional to 66,012 and 145,092

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Solution

The third proportional to 66,012 and 145,092 is: 318,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,012 : 145,092 = 145,092 : x
  2. Step 2: Convert to fraction form
    66,012/145,092 = 145,092/x
  3. Step 3: Cross multiply
    66,012x = 145,092 × 145,092
  4. Step 4: Simplify right side
    66,012x = 21,051,688,464
  5. Step 5: Solve for x
    x = 21,051,688,464/66,012
  6. Step 6: Final answer
    x = 318,906.99

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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.