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Finding the Third Proportional to 66,399 and 143,868

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Solution

The third proportional to 66,399 and 143,868 is: 311,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399 : 143,868 = 143,868 : x
  2. Step 2: Convert to fraction form
    66,399/143,868 = 143,868/x
  3. Step 3: Cross multiply
    66,399x = 143,868 × 143,868
  4. Step 4: Simplify right side
    66,399x = 20,698,001,424
  5. Step 5: Solve for x
    x = 20,698,001,424/66,399
  6. Step 6: Final answer
    x = 311,721.58

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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.