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Finding the Third Proportional to 66,440 and 145,936

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Solution

The third proportional to 66,440 and 145,936 is: 320,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,440 : 145,936 = 145,936 : x
  2. Step 2: Convert to fraction form
    66,440/145,936 = 145,936/x
  3. Step 3: Cross multiply
    66,440x = 145,936 × 145,936
  4. Step 4: Simplify right side
    66,440x = 21,297,316,096
  5. Step 5: Solve for x
    x = 21,297,316,096/66,440
  6. Step 6: Final answer
    x = 320,549.61

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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.