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Finding the Third Proportional to 66,761,828 and 140,697,018

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Solution

The third proportional to 66,761,828 and 140,697,018 is: 296,511,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,761,828 : 140,697,018 = 140,697,018 : x
  2. Step 2: Convert to fraction form
    66,761,828/140,697,018 = 140,697,018/x
  3. Step 3: Cross multiply
    66,761,828x = 140,697,018 × 140,697,018
  4. Step 4: Simplify right side
    66,761,828x = 19,795,650,874,092,324
  5. Step 5: Solve for x
    x = 19,795,650,874,092,324/66,761,828
  6. Step 6: Final answer
    x = 296,511,516.64

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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.