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Finding the Third Proportional to 66,976 and 146,799

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Solution

The third proportional to 66,976 and 146,799 is: 321,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,976 : 146,799 = 146,799 : x
  2. Step 2: Convert to fraction form
    66,976/146,799 = 146,799/x
  3. Step 3: Cross multiply
    66,976x = 146,799 × 146,799
  4. Step 4: Simplify right side
    66,976x = 21,549,946,401
  5. Step 5: Solve for x
    x = 21,549,946,401/66,976
  6. Step 6: Final answer
    x = 321,756.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.