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Finding the Third Proportional to 163,647 and 356,859

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Solution

The third proportional to 163,647 and 356,859 is: 778,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,647 : 356,859 = 356,859 : x
  2. Step 2: Convert to fraction form
    163,647/356,859 = 356,859/x
  3. Step 3: Cross multiply
    163,647x = 356,859 × 356,859
  4. Step 4: Simplify right side
    163,647x = 127,348,345,881
  5. Step 5: Solve for x
    x = 127,348,345,881/163,647
  6. Step 6: Final answer
    x = 778,189.31

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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.