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Finding the Third Proportional to 66,939 and 144,246

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Solution

The third proportional to 66,939 and 144,246 is: 310,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939 : 144,246 = 144,246 : x
  2. Step 2: Convert to fraction form
    66,939/144,246 = 144,246/x
  3. Step 3: Cross multiply
    66,939x = 144,246 × 144,246
  4. Step 4: Simplify right side
    66,939x = 20,806,908,516
  5. Step 5: Solve for x
    x = 20,806,908,516/66,939
  6. Step 6: Final answer
    x = 310,833.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.