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Finding the Third Proportional to 180,912 and 385,864

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Solution

The third proportional to 180,912 and 385,864 is: 823,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,912 : 385,864 = 385,864 : x
  2. Step 2: Convert to fraction form
    180,912/385,864 = 385,864/x
  3. Step 3: Cross multiply
    180,912x = 385,864 × 385,864
  4. Step 4: Simplify right side
    180,912x = 148,891,026,496
  5. Step 5: Solve for x
    x = 148,891,026,496/180,912
  6. Step 6: Final answer
    x = 823,002.49

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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.