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Finding the Third Proportional to 66,766 and 103,345

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Solution

The third proportional to 66,766 and 103,345 is: 159,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766 : 103,345 = 103,345 : x
  2. Step 2: Convert to fraction form
    66,766/103,345 = 103,345/x
  3. Step 3: Cross multiply
    66,766x = 103,345 × 103,345
  4. Step 4: Simplify right side
    66,766x = 10,680,189,025
  5. Step 5: Solve for x
    x = 10,680,189,025/66,766
  6. Step 6: Final answer
    x = 159,964.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.