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Finding the Third Proportional to 66,930 and 144,228

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Solution

The third proportional to 66,930 and 144,228 is: 310,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,930 : 144,228 = 144,228 : x
  2. Step 2: Convert to fraction form
    66,930/144,228 = 144,228/x
  3. Step 3: Cross multiply
    66,930x = 144,228 × 144,228
  4. Step 4: Simplify right side
    66,930x = 20,801,715,984
  5. Step 5: Solve for x
    x = 20,801,715,984/66,930
  6. Step 6: Final answer
    x = 310,798.09

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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.