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Finding the Third Proportional to 171,345,788 and 261,036,197

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Solution

The third proportional to 171,345,788 and 261,036,197 is: 397,674,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,788 : 261,036,197 = 261,036,197 : x
  2. Step 2: Convert to fraction form
    171,345,788/261,036,197 = 261,036,197/x
  3. Step 3: Cross multiply
    171,345,788x = 261,036,197 × 261,036,197
  4. Step 4: Simplify right side
    171,345,788x = 68,139,896,144,222,808
  5. Step 5: Solve for x
    x = 68,139,896,144,222,808/171,345,788
  6. Step 6: Final answer
    x = 397,674,765.98

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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.