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Finding the Third Proportional to 221,438 and 343,823

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Solution

The third proportional to 221,438 and 343,823 is: 533,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,438 : 343,823 = 343,823 : x
  2. Step 2: Convert to fraction form
    221,438/343,823 = 343,823/x
  3. Step 3: Cross multiply
    221,438x = 343,823 × 343,823
  4. Step 4: Simplify right side
    221,438x = 118,214,255,329
  5. Step 5: Solve for x
    x = 118,214,255,329/221,438
  6. Step 6: Final answer
    x = 533,848.10

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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.