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Finding the Third Proportional to 121,604 and 163,708

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Solution

The third proportional to 121,604 and 163,708 is: 220,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,604 : 163,708 = 163,708 : x
  2. Step 2: Convert to fraction form
    121,604/163,708 = 163,708/x
  3. Step 3: Cross multiply
    121,604x = 163,708 × 163,708
  4. Step 4: Simplify right side
    121,604x = 26,800,309,264
  5. Step 5: Solve for x
    x = 26,800,309,264/121,604
  6. Step 6: Final answer
    x = 220,390.03

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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.