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Finding the Third Proportional to 66,898 and 103,642

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Solution

The third proportional to 66,898 and 103,642 is: 160,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898 : 103,642 = 103,642 : x
  2. Step 2: Convert to fraction form
    66,898/103,642 = 103,642/x
  3. Step 3: Cross multiply
    66,898x = 103,642 × 103,642
  4. Step 4: Simplify right side
    66,898x = 10,741,664,164
  5. Step 5: Solve for x
    x = 10,741,664,164/66,898
  6. Step 6: Final answer
    x = 160,567.79

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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.