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Finding the Third Proportional to 66,040 and 143,866

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Solution

The third proportional to 66,040 and 143,866 is: 313,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,040 : 143,866 = 143,866 : x
  2. Step 2: Convert to fraction form
    66,040/143,866 = 143,866/x
  3. Step 3: Cross multiply
    66,040x = 143,866 × 143,866
  4. Step 4: Simplify right side
    66,040x = 20,697,425,956
  5. Step 5: Solve for x
    x = 20,697,425,956/66,040
  6. Step 6: Final answer
    x = 313,407.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.