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Finding the Third Proportional to 66,764 and 143,928

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Solution

The third proportional to 66,764 and 143,928 is: 310,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764 : 143,928 = 143,928 : x
  2. Step 2: Convert to fraction form
    66,764/143,928 = 143,928/x
  3. Step 3: Cross multiply
    66,764x = 143,928 × 143,928
  4. Step 4: Simplify right side
    66,764x = 20,715,269,184
  5. Step 5: Solve for x
    x = 20,715,269,184/66,764
  6. Step 6: Final answer
    x = 310,276.03

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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.