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Finding the Third Proportional to 43,119 and 66,605

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Solution

The third proportional to 43,119 and 66,605 is: 102,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,119 : 66,605 = 66,605 : x
  2. Step 2: Convert to fraction form
    43,119/66,605 = 66,605/x
  3. Step 3: Cross multiply
    43,119x = 66,605 × 66,605
  4. Step 4: Simplify right side
    43,119x = 4,436,226,025
  5. Step 5: Solve for x
    x = 4,436,226,025/43,119
  6. Step 6: Final answer
    x = 102,883.32

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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.