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Finding the Third Proportional to 262,968 and 427,236

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Solution

The third proportional to 262,968 and 427,236 is: 694,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,968 : 427,236 = 427,236 : x
  2. Step 2: Convert to fraction form
    262,968/427,236 = 427,236/x
  3. Step 3: Cross multiply
    262,968x = 427,236 × 427,236
  4. Step 4: Simplify right side
    262,968x = 182,530,599,696
  5. Step 5: Solve for x
    x = 182,530,599,696/262,968
  6. Step 6: Final answer
    x = 694,117.15

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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.