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Finding the Third Proportional to 66,377 and 143,320

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Solution

The third proportional to 66,377 and 143,320 is: 309,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,377 : 143,320 = 143,320 : x
  2. Step 2: Convert to fraction form
    66,377/143,320 = 143,320/x
  3. Step 3: Cross multiply
    66,377x = 143,320 × 143,320
  4. Step 4: Simplify right side
    66,377x = 20,540,622,400
  5. Step 5: Solve for x
    x = 20,540,622,400/66,377
  6. Step 6: Final answer
    x = 309,453.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.