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Finding the Third Proportional to 163,644 and 356,856

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Solution

The third proportional to 163,644 and 356,856 is: 778,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,644 : 356,856 = 356,856 : x
  2. Step 2: Convert to fraction form
    163,644/356,856 = 356,856/x
  3. Step 3: Cross multiply
    163,644x = 356,856 × 356,856
  4. Step 4: Simplify right side
    163,644x = 127,346,204,736
  5. Step 5: Solve for x
    x = 127,346,204,736/163,644
  6. Step 6: Final answer
    x = 778,190.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.