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Finding the Third Proportional to 94,566 and 146,625

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Solution

The third proportional to 94,566 and 146,625 is: 227,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,566 : 146,625 = 146,625 : x
  2. Step 2: Convert to fraction form
    94,566/146,625 = 146,625/x
  3. Step 3: Cross multiply
    94,566x = 146,625 × 146,625
  4. Step 4: Simplify right side
    94,566x = 21,498,890,625
  5. Step 5: Solve for x
    x = 21,498,890,625/94,566
  6. Step 6: Final answer
    x = 227,342.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.