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Finding the Third Proportional to 66,940 and 144,248

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Solution

The third proportional to 66,940 and 144,248 is: 310,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,940 : 144,248 = 144,248 : x
  2. Step 2: Convert to fraction form
    66,940/144,248 = 144,248/x
  3. Step 3: Cross multiply
    66,940x = 144,248 × 144,248
  4. Step 4: Simplify right side
    66,940x = 20,807,485,504
  5. Step 5: Solve for x
    x = 20,807,485,504/66,940
  6. Step 6: Final answer
    x = 310,837.85

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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.