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Finding the Third Proportional to 66,286.69 and 143,162.86

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Solution

The third proportional to 66,286.69 and 143,162.86 is: 309,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,286.69 : 143,162.86 = 143,162.86 : x
  2. Step 2: Convert to fraction form
    66,286.69/143,162.86 = 143,162.86/x
  3. Step 3: Cross multiply
    66,286.69x = 143,162.86 × 143,162.86
  4. Step 4: Simplify right side
    66,286.69x = 20,495,604,304.43
  5. Step 5: Solve for x
    x = 20,495,604,304.43/66,286.69
  6. Step 6: Final answer
    x = 309,196.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.