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Finding the Third Proportional to 66,400 and 144,392

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Solution

The third proportional to 66,400 and 144,392 is: 313,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,400 : 144,392 = 144,392 : x
  2. Step 2: Convert to fraction form
    66,400/144,392 = 144,392/x
  3. Step 3: Cross multiply
    66,400x = 144,392 × 144,392
  4. Step 4: Simplify right side
    66,400x = 20,849,049,664
  5. Step 5: Solve for x
    x = 20,849,049,664/66,400
  6. Step 6: Final answer
    x = 313,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.