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Finding the Third Proportional to 207,844,105.50 and 290,578,297.50

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Solution

The third proportional to 207,844,105.50 and 290,578,297.50 is: 406,245,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844,105.50 : 290,578,297.50 = 290,578,297.50 : x
  2. Step 2: Convert to fraction form
    207,844,105.50/290,578,297.50 = 290,578,297.50/x
  3. Step 3: Cross multiply
    207,844,105.50x = 290,578,297.50 × 290,578,297.50
  4. Step 4: Simplify right side
    207,844,105.50x = 84,435,746,977,998,512
  5. Step 5: Solve for x
    x = 84,435,746,977,998,512/207,844,105.50
  6. Step 6: Final answer
    x = 406,245,569.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.