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Finding the Third Proportional to 66,663 and 146,367

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Solution

The third proportional to 66,663 and 146,367 is: 321,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,663 : 146,367 = 146,367 : x
  2. Step 2: Convert to fraction form
    66,663/146,367 = 146,367/x
  3. Step 3: Cross multiply
    66,663x = 146,367 × 146,367
  4. Step 4: Simplify right side
    66,663x = 21,423,298,689
  5. Step 5: Solve for x
    x = 21,423,298,689/66,663
  6. Step 6: Final answer
    x = 321,367.16

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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.