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Finding the Third Proportional to 405,600 and 636,236

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Solution

The third proportional to 405,600 and 636,236 is: 998,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,600 : 636,236 = 636,236 : x
  2. Step 2: Convert to fraction form
    405,600/636,236 = 636,236/x
  3. Step 3: Cross multiply
    405,600x = 636,236 × 636,236
  4. Step 4: Simplify right side
    405,600x = 404,796,247,696
  5. Step 5: Solve for x
    x = 404,796,247,696/405,600
  6. Step 6: Final answer
    x = 998,018.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.