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Finding the Third Proportional to 263,002 and 427,287

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Solution

The third proportional to 263,002 and 427,287 is: 694,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,002 : 427,287 = 427,287 : x
  2. Step 2: Convert to fraction form
    263,002/427,287 = 427,287/x
  3. Step 3: Cross multiply
    263,002x = 427,287 × 427,287
  4. Step 4: Simplify right side
    263,002x = 182,574,180,369
  5. Step 5: Solve for x
    x = 182,574,180,369/263,002
  6. Step 6: Final answer
    x = 694,193.13

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.