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Finding the Third Proportional to 121,530 and 163,603

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Solution

The third proportional to 121,530 and 163,603 is: 220,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,530 : 163,603 = 163,603 : x
  2. Step 2: Convert to fraction form
    121,530/163,603 = 163,603/x
  3. Step 3: Cross multiply
    121,530x = 163,603 × 163,603
  4. Step 4: Simplify right side
    121,530x = 26,765,941,609
  5. Step 5: Solve for x
    x = 26,765,941,609/121,530
  6. Step 6: Final answer
    x = 220,241.44

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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.