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Finding the Third Proportional to 66,690 and 140,886

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Solution

The third proportional to 66,690 and 140,886 is: 297,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,690 : 140,886 = 140,886 : x
  2. Step 2: Convert to fraction form
    66,690/140,886 = 140,886/x
  3. Step 3: Cross multiply
    66,690x = 140,886 × 140,886
  4. Step 4: Simplify right side
    66,690x = 19,848,864,996
  5. Step 5: Solve for x
    x = 19,848,864,996/66,690
  6. Step 6: Final answer
    x = 297,628.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.