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Finding the Third Proportional to 66,393 and 143,349

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Solution

The third proportional to 66,393 and 143,349 is: 309,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,393 : 143,349 = 143,349 : x
  2. Step 2: Convert to fraction form
    66,393/143,349 = 143,349/x
  3. Step 3: Cross multiply
    66,393x = 143,349 × 143,349
  4. Step 4: Simplify right side
    66,393x = 20,548,935,801
  5. Step 5: Solve for x
    x = 20,548,935,801/66,393
  6. Step 6: Final answer
    x = 309,504.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.