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Finding the Third Proportional to 380,352 and 816,864

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Solution

The third proportional to 380,352 and 816,864 is: 1,754,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,352 : 816,864 = 816,864 : x
  2. Step 2: Convert to fraction form
    380,352/816,864 = 816,864/x
  3. Step 3: Cross multiply
    380,352x = 816,864 × 816,864
  4. Step 4: Simplify right side
    380,352x = 667,266,794,496
  5. Step 5: Solve for x
    x = 667,266,794,496/380,352
  6. Step 6: Final answer
    x = 1,754,340.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.