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Finding the Third Proportional to 66,926 and 144,064

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Solution

The third proportional to 66,926 and 144,064 is: 310,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,926 : 144,064 = 144,064 : x
  2. Step 2: Convert to fraction form
    66,926/144,064 = 144,064/x
  3. Step 3: Cross multiply
    66,926x = 144,064 × 144,064
  4. Step 4: Simplify right side
    66,926x = 20,754,436,096
  5. Step 5: Solve for x
    x = 20,754,436,096/66,926
  6. Step 6: Final answer
    x = 310,110.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.