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Finding the Third Proportional to 43,768 and 66,170

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Solution

The third proportional to 43,768 and 66,170 is: 100,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 66,170 = 66,170 : x
  2. Step 2: Convert to fraction form
    43,768/66,170 = 66,170/x
  3. Step 3: Cross multiply
    43,768x = 66,170 × 66,170
  4. Step 4: Simplify right side
    43,768x = 4,378,468,900
  5. Step 5: Solve for x
    x = 4,378,468,900/43,768
  6. Step 6: Final answer
    x = 100,038.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.