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Finding the Third Proportional to 221,944 and 343,274

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Solution

The third proportional to 221,944 and 343,274 is: 530,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,944 : 343,274 = 343,274 : x
  2. Step 2: Convert to fraction form
    221,944/343,274 = 343,274/x
  3. Step 3: Cross multiply
    221,944x = 343,274 × 343,274
  4. Step 4: Simplify right side
    221,944x = 117,837,039,076
  5. Step 5: Solve for x
    x = 117,837,039,076/221,944
  6. Step 6: Final answer
    x = 530,931.40

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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.