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Finding the Third Proportional to 66,647 and 140,786

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Solution

The third proportional to 66,647 and 140,786 is: 297,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,647 : 140,786 = 140,786 : x
  2. Step 2: Convert to fraction form
    66,647/140,786 = 140,786/x
  3. Step 3: Cross multiply
    66,647x = 140,786 × 140,786
  4. Step 4: Simplify right side
    66,647x = 19,820,697,796
  5. Step 5: Solve for x
    x = 19,820,697,796/66,647
  6. Step 6: Final answer
    x = 297,398.20

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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.