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Finding the Third Proportional to 207,844,221 and 290,578,470

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Solution

The third proportional to 207,844,221 and 290,578,470 is: 406,245,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844,221 : 290,578,470 = 290,578,470 : x
  2. Step 2: Convert to fraction form
    207,844,221/290,578,470 = 290,578,470/x
  3. Step 3: Cross multiply
    207,844,221x = 290,578,470 × 290,578,470
  4. Step 4: Simplify right side
    207,844,221x = 84,435,847,227,540,896
  5. Step 5: Solve for x
    x = 84,435,847,227,540,896/207,844,221
  6. Step 6: Final answer
    x = 406,245,825.94

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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.