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Finding the Third Proportional to 181,770 and 386,868

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Solution

The third proportional to 181,770 and 386,868 is: 823,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,770 : 386,868 = 386,868 : x
  2. Step 2: Convert to fraction form
    181,770/386,868 = 386,868/x
  3. Step 3: Cross multiply
    181,770x = 386,868 × 386,868
  4. Step 4: Simplify right side
    181,770x = 149,666,849,424
  5. Step 5: Solve for x
    x = 149,666,849,424/181,770
  6. Step 6: Final answer
    x = 823,385.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.