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Finding the Third Proportional to 66,856 and 144,620

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Solution

The third proportional to 66,856 and 144,620 is: 312,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,856 : 144,620 = 144,620 : x
  2. Step 2: Convert to fraction form
    66,856/144,620 = 144,620/x
  3. Step 3: Cross multiply
    66,856x = 144,620 × 144,620
  4. Step 4: Simplify right side
    66,856x = 20,914,944,400
  5. Step 5: Solve for x
    x = 20,914,944,400/66,856
  6. Step 6: Final answer
    x = 312,835.71

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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.