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Finding the Third Proportional to 66,726 and 144,990

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Solution

The third proportional to 66,726 and 144,990 is: 315,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,726 : 144,990 = 144,990 : x
  2. Step 2: Convert to fraction form
    66,726/144,990 = 144,990/x
  3. Step 3: Cross multiply
    66,726x = 144,990 × 144,990
  4. Step 4: Simplify right side
    66,726x = 21,022,100,100
  5. Step 5: Solve for x
    x = 21,022,100,100/66,726
  6. Step 6: Final answer
    x = 315,051.11

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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.