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Finding the Third Proportional to 292,210 and 440,198

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Solution

The third proportional to 292,210 and 440,198 is: 663,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,210 : 440,198 = 440,198 : x
  2. Step 2: Convert to fraction form
    292,210/440,198 = 440,198/x
  3. Step 3: Cross multiply
    292,210x = 440,198 × 440,198
  4. Step 4: Simplify right side
    292,210x = 193,774,279,204
  5. Step 5: Solve for x
    x = 193,774,279,204/292,210
  6. Step 6: Final answer
    x = 663,133.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.