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Finding the Third Proportional to 66,422 and 143,698

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Solution

The third proportional to 66,422 and 143,698 is: 310,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,422 : 143,698 = 143,698 : x
  2. Step 2: Convert to fraction form
    66,422/143,698 = 143,698/x
  3. Step 3: Cross multiply
    66,422x = 143,698 × 143,698
  4. Step 4: Simplify right side
    66,422x = 20,649,115,204
  5. Step 5: Solve for x
    x = 20,649,115,204/66,422
  6. Step 6: Final answer
    x = 310,877.65

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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.