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Finding the Third Proportional to 378,388 and 802,896

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Solution

The third proportional to 378,388 and 802,896 is: 1,703,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,388 : 802,896 = 802,896 : x
  2. Step 2: Convert to fraction form
    378,388/802,896 = 802,896/x
  3. Step 3: Cross multiply
    378,388x = 802,896 × 802,896
  4. Step 4: Simplify right side
    378,388x = 644,641,986,816
  5. Step 5: Solve for x
    x = 644,641,986,816/378,388
  6. Step 6: Final answer
    x = 1,703,653.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.