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Finding the Third Proportional to 66,716 and 103,266

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Solution

The third proportional to 66,716 and 103,266 is: 159,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,716 : 103,266 = 103,266 : x
  2. Step 2: Convert to fraction form
    66,716/103,266 = 103,266/x
  3. Step 3: Cross multiply
    66,716x = 103,266 × 103,266
  4. Step 4: Simplify right side
    66,716x = 10,663,866,756
  5. Step 5: Solve for x
    x = 10,663,866,756/66,716
  6. Step 6: Final answer
    x = 159,839.72

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Why These Related Problems?

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