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Finding the Third Proportional to 163,617 and 356,799

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Solution

The third proportional to 163,617 and 356,799 is: 778,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,617 : 356,799 = 356,799 : x
  2. Step 2: Convert to fraction form
    163,617/356,799 = 356,799/x
  3. Step 3: Cross multiply
    163,617x = 356,799 × 356,799
  4. Step 4: Simplify right side
    163,617x = 127,305,526,401
  5. Step 5: Solve for x
    x = 127,305,526,401/163,617
  6. Step 6: Final answer
    x = 778,070.29

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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.