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Finding the Third Proportional to 66,366 and 143,802

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Solution

The third proportional to 66,366 and 143,802 is: 311,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,366 : 143,802 = 143,802 : x
  2. Step 2: Convert to fraction form
    66,366/143,802 = 143,802/x
  3. Step 3: Cross multiply
    66,366x = 143,802 × 143,802
  4. Step 4: Simplify right side
    66,366x = 20,679,015,204
  5. Step 5: Solve for x
    x = 20,679,015,204/66,366
  6. Step 6: Final answer
    x = 311,590.50

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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.