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Finding the Third Proportional to 66,221 and 144,821

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Solution

The third proportional to 66,221 and 144,821 is: 316,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,221 : 144,821 = 144,821 : x
  2. Step 2: Convert to fraction form
    66,221/144,821 = 144,821/x
  3. Step 3: Cross multiply
    66,221x = 144,821 × 144,821
  4. Step 4: Simplify right side
    66,221x = 20,973,122,041
  5. Step 5: Solve for x
    x = 20,973,122,041/66,221
  6. Step 6: Final answer
    x = 316,714.06

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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.