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Finding the Third Proportional to 163,611 and 220,986

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Solution

The third proportional to 163,611 and 220,986 is: 298,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,611 : 220,986 = 220,986 : x
  2. Step 2: Convert to fraction form
    163,611/220,986 = 220,986/x
  3. Step 3: Cross multiply
    163,611x = 220,986 × 220,986
  4. Step 4: Simplify right side
    163,611x = 48,834,812,196
  5. Step 5: Solve for x
    x = 48,834,812,196/163,611
  6. Step 6: Final answer
    x = 298,481.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.