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Finding the Third Proportional to 66,784 and 144,206

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Solution

The third proportional to 66,784 and 144,206 is: 311,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784 : 144,206 = 144,206 : x
  2. Step 2: Convert to fraction form
    66,784/144,206 = 144,206/x
  3. Step 3: Cross multiply
    66,784x = 144,206 × 144,206
  4. Step 4: Simplify right side
    66,784x = 20,795,370,436
  5. Step 5: Solve for x
    x = 20,795,370,436/66,784
  6. Step 6: Final answer
    x = 311,382.52

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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.