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Finding the Third Proportional to 262,998 and 427,285

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Solution

The third proportional to 262,998 and 427,285 is: 694,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,998 : 427,285 = 427,285 : x
  2. Step 2: Convert to fraction form
    262,998/427,285 = 427,285/x
  3. Step 3: Cross multiply
    262,998x = 427,285 × 427,285
  4. Step 4: Simplify right side
    262,998x = 182,572,471,225
  5. Step 5: Solve for x
    x = 182,572,471,225/262,998
  6. Step 6: Final answer
    x = 694,197.18

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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.