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Finding the Third Proportional to 221,942 and 343,271

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Solution

The third proportional to 221,942 and 343,271 is: 530,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,942 : 343,271 = 343,271 : x
  2. Step 2: Convert to fraction form
    221,942/343,271 = 343,271/x
  3. Step 3: Cross multiply
    221,942x = 343,271 × 343,271
  4. Step 4: Simplify right side
    221,942x = 117,834,979,441
  5. Step 5: Solve for x
    x = 117,834,979,441/221,942
  6. Step 6: Final answer
    x = 530,926.91

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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.