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Finding the Third Proportional to 163,658 and 253,999

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Solution

The third proportional to 163,658 and 253,999 is: 394,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,658 : 253,999 = 253,999 : x
  2. Step 2: Convert to fraction form
    163,658/253,999 = 253,999/x
  3. Step 3: Cross multiply
    163,658x = 253,999 × 253,999
  4. Step 4: Simplify right side
    163,658x = 64,515,492,001
  5. Step 5: Solve for x
    x = 64,515,492,001/163,658
  6. Step 6: Final answer
    x = 394,209.22

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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.