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Finding the Third Proportional to 66,660 and 140,814

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Solution

The third proportional to 66,660 and 140,814 is: 297,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,660 : 140,814 = 140,814 : x
  2. Step 2: Convert to fraction form
    66,660/140,814 = 140,814/x
  3. Step 3: Cross multiply
    66,660x = 140,814 × 140,814
  4. Step 4: Simplify right side
    66,660x = 19,828,582,596
  5. Step 5: Solve for x
    x = 19,828,582,596/66,660
  6. Step 6: Final answer
    x = 297,458.48

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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.