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Finding the Third Proportional to 66,554 and 143,762

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Solution

The third proportional to 66,554 and 143,762 is: 310,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,554 : 143,762 = 143,762 : x
  2. Step 2: Convert to fraction form
    66,554/143,762 = 143,762/x
  3. Step 3: Cross multiply
    66,554x = 143,762 × 143,762
  4. Step 4: Simplify right side
    66,554x = 20,667,512,644
  5. Step 5: Solve for x
    x = 20,667,512,644/66,554
  6. Step 6: Final answer
    x = 310,537.50

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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.