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Finding the Third Proportional to 67,470 and 146,601

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Solution

The third proportional to 67,470 and 146,601 is: 318,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470 : 146,601 = 146,601 : x
  2. Step 2: Convert to fraction form
    67,470/146,601 = 146,601/x
  3. Step 3: Cross multiply
    67,470x = 146,601 × 146,601
  4. Step 4: Simplify right side
    67,470x = 21,491,853,201
  5. Step 5: Solve for x
    x = 21,491,853,201/67,470
  6. Step 6: Final answer
    x = 318,539.40

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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.