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Finding the Third Proportional to 221,434 and 343,818

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Solution

The third proportional to 221,434 and 343,818 is: 533,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,434 : 343,818 = 343,818 : x
  2. Step 2: Convert to fraction form
    221,434/343,818 = 343,818/x
  3. Step 3: Cross multiply
    221,434x = 343,818 × 343,818
  4. Step 4: Simplify right side
    221,434x = 118,210,817,124
  5. Step 5: Solve for x
    x = 118,210,817,124/221,434
  6. Step 6: Final answer
    x = 533,842.22

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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.