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Finding the Third Proportional to 43,498 and 66,975

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Solution

The third proportional to 43,498 and 66,975 is: 103,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,498 : 66,975 = 66,975 : x
  2. Step 2: Convert to fraction form
    43,498/66,975 = 66,975/x
  3. Step 3: Cross multiply
    43,498x = 66,975 × 66,975
  4. Step 4: Simplify right side
    43,498x = 4,485,650,625
  5. Step 5: Solve for x
    x = 4,485,650,625/43,498
  6. Step 6: Final answer
    x = 103,123.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.