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Finding the Third Proportional to 263,197 and 393,040

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Solution

The third proportional to 263,197 and 393,040 is: 586,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,197 : 393,040 = 393,040 : x
  2. Step 2: Convert to fraction form
    263,197/393,040 = 393,040/x
  3. Step 3: Cross multiply
    263,197x = 393,040 × 393,040
  4. Step 4: Simplify right side
    263,197x = 154,480,441,600
  5. Step 5: Solve for x
    x = 154,480,441,600/263,197
  6. Step 6: Final answer
    x = 586,938.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.