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Finding the Third Proportional to 171,345,755 and 261,036,147

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Solution

The third proportional to 171,345,755 and 261,036,147 is: 397,674,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,755 : 261,036,147 = 261,036,147 : x
  2. Step 2: Convert to fraction form
    171,345,755/261,036,147 = 261,036,147/x
  3. Step 3: Cross multiply
    171,345,755x = 261,036,147 × 261,036,147
  4. Step 4: Simplify right side
    171,345,755x = 68,139,870,040,605,608
  5. Step 5: Solve for x
    x = 68,139,870,040,605,608/171,345,755
  6. Step 6: Final answer
    x = 397,674,690.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.