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Finding the Third Proportional to 405,625.50 and 636,276.38

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Solution

The third proportional to 405,625.50 and 636,276.38 is: 998,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,625.50 : 636,276.38 = 636,276.38 : x
  2. Step 2: Convert to fraction form
    405,625.50/636,276.38 = 636,276.38/x
  3. Step 3: Cross multiply
    405,625.50x = 636,276.38 × 636,276.38
  4. Step 4: Simplify right side
    405,625.50x = 404,847,625,383.14
  5. Step 5: Solve for x
    x = 404,847,625,383.14/405,625.50
  6. Step 6: Final answer
    x = 998,082.28

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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.