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Finding the Third Proportional to 171,345,850 and 261,036,279

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Solution

The third proportional to 171,345,850 and 261,036,279 is: 397,674,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,850 : 261,036,279 = 261,036,279 : x
  2. Step 2: Convert to fraction form
    171,345,850/261,036,279 = 261,036,279/x
  3. Step 3: Cross multiply
    171,345,850x = 261,036,279 × 261,036,279
  4. Step 4: Simplify right side
    171,345,850x = 68,139,938,954,165,840
  5. Step 5: Solve for x
    x = 68,139,938,954,165,840/171,345,850
  6. Step 6: Final answer
    x = 397,674,871.93

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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.