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Finding the Third Proportional to 66,837 and 142,413

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Solution

The third proportional to 66,837 and 142,413 is: 303,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,837 : 142,413 = 142,413 : x
  2. Step 2: Convert to fraction form
    66,837/142,413 = 142,413/x
  3. Step 3: Cross multiply
    66,837x = 142,413 × 142,413
  4. Step 4: Simplify right side
    66,837x = 20,281,462,569
  5. Step 5: Solve for x
    x = 20,281,462,569/66,837
  6. Step 6: Final answer
    x = 303,446.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.