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Finding the Third Proportional to 66,602 and 146,329

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Solution

The third proportional to 66,602 and 146,329 is: 321,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,602 : 146,329 = 146,329 : x
  2. Step 2: Convert to fraction form
    66,602/146,329 = 146,329/x
  3. Step 3: Cross multiply
    66,602x = 146,329 × 146,329
  4. Step 4: Simplify right side
    66,602x = 21,412,176,241
  5. Step 5: Solve for x
    x = 21,412,176,241/66,602
  6. Step 6: Final answer
    x = 321,494.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.