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Finding the Third Proportional to 66,466 and 142,676

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Solution

The third proportional to 66,466 and 142,676 is: 306,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,466 : 142,676 = 142,676 : x
  2. Step 2: Convert to fraction form
    66,466/142,676 = 142,676/x
  3. Step 3: Cross multiply
    66,466x = 142,676 × 142,676
  4. Step 4: Simplify right side
    66,466x = 20,356,440,976
  5. Step 5: Solve for x
    x = 20,356,440,976/66,466
  6. Step 6: Final answer
    x = 306,268.48

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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.