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Finding the Third Proportional to 66,862 and 145,249

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Solution

The third proportional to 66,862 and 145,249 is: 315,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,862 : 145,249 = 145,249 : x
  2. Step 2: Convert to fraction form
    66,862/145,249 = 145,249/x
  3. Step 3: Cross multiply
    66,862x = 145,249 × 145,249
  4. Step 4: Simplify right side
    66,862x = 21,097,272,001
  5. Step 5: Solve for x
    x = 21,097,272,001/66,862
  6. Step 6: Final answer
    x = 315,534.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.