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Finding the Third Proportional to 66,551 and 146,491

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Solution

The third proportional to 66,551 and 146,491 is: 322,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,551 : 146,491 = 146,491 : x
  2. Step 2: Convert to fraction form
    66,551/146,491 = 146,491/x
  3. Step 3: Cross multiply
    66,551x = 146,491 × 146,491
  4. Step 4: Simplify right side
    66,551x = 21,459,613,081
  5. Step 5: Solve for x
    x = 21,459,613,081/66,551
  6. Step 6: Final answer
    x = 322,453.65

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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.