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Finding the Third Proportional to 221,400 and 343,764

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Solution

The third proportional to 221,400 and 343,764 is: 533,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,400 : 343,764 = 343,764 : x
  2. Step 2: Convert to fraction form
    221,400/343,764 = 343,764/x
  3. Step 3: Cross multiply
    221,400x = 343,764 × 343,764
  4. Step 4: Simplify right side
    221,400x = 118,173,687,696
  5. Step 5: Solve for x
    x = 118,173,687,696/221,400
  6. Step 6: Final answer
    x = 533,756.49

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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.