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Finding the Third Proportional to 66,863 and 103,865

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Solution

The third proportional to 66,863 and 103,865 is: 161,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,863 : 103,865 = 103,865 : x
  2. Step 2: Convert to fraction form
    66,863/103,865 = 103,865/x
  3. Step 3: Cross multiply
    66,863x = 103,865 × 103,865
  4. Step 4: Simplify right side
    66,863x = 10,787,938,225
  5. Step 5: Solve for x
    x = 10,787,938,225/66,863
  6. Step 6: Final answer
    x = 161,343.92

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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.