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Finding the Third Proportional to 163,658 and 253,997

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Solution

The third proportional to 163,658 and 253,997 is: 394,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,658 : 253,997 = 253,997 : x
  2. Step 2: Convert to fraction form
    163,658/253,997 = 253,997/x
  3. Step 3: Cross multiply
    163,658x = 253,997 × 253,997
  4. Step 4: Simplify right side
    163,658x = 64,514,476,009
  5. Step 5: Solve for x
    x = 64,514,476,009/163,658
  6. Step 6: Final answer
    x = 394,203.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.