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Finding the Third Proportional to 66,550 and 143,766

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Solution

The third proportional to 66,550 and 143,766 is: 310,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,550 : 143,766 = 143,766 : x
  2. Step 2: Convert to fraction form
    66,550/143,766 = 143,766/x
  3. Step 3: Cross multiply
    66,550x = 143,766 × 143,766
  4. Step 4: Simplify right side
    66,550x = 20,668,662,756
  5. Step 5: Solve for x
    x = 20,668,662,756/66,550
  6. Step 6: Final answer
    x = 310,573.44

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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.