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Finding the Third Proportional to 163,821 and 220,140

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Solution

The third proportional to 163,821 and 220,140 is: 295,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,821 : 220,140 = 220,140 : x
  2. Step 2: Convert to fraction form
    163,821/220,140 = 220,140/x
  3. Step 3: Cross multiply
    163,821x = 220,140 × 220,140
  4. Step 4: Simplify right side
    163,821x = 48,461,619,600
  5. Step 5: Solve for x
    x = 48,461,619,600/163,821
  6. Step 6: Final answer
    x = 295,820.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.