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Finding the Third Proportional to 81,498,504 and 123,297,660

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Solution

The third proportional to 81,498,504 and 123,297,660 is: 186,534,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498,504 : 123,297,660 = 123,297,660 : x
  2. Step 2: Convert to fraction form
    81,498,504/123,297,660 = 123,297,660/x
  3. Step 3: Cross multiply
    81,498,504x = 123,297,660 × 123,297,660
  4. Step 4: Simplify right side
    81,498,504x = 15,202,312,961,475,600
  5. Step 5: Solve for x
    x = 15,202,312,961,475,600/81,498,504
  6. Step 6: Final answer
    x = 186,534,871.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.