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Finding the Third Proportional to 66,466 and 146,108

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Solution

The third proportional to 66,466 and 146,108 is: 321,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,466 : 146,108 = 146,108 : x
  2. Step 2: Convert to fraction form
    66,466/146,108 = 146,108/x
  3. Step 3: Cross multiply
    66,466x = 146,108 × 146,108
  4. Step 4: Simplify right side
    66,466x = 21,347,547,664
  5. Step 5: Solve for x
    x = 21,347,547,664/66,466
  6. Step 6: Final answer
    x = 321,179.97

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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.