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Finding the Third Proportional to 405,417 and 635,976

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Solution

The third proportional to 405,417 and 635,976 is: 997,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,417 : 635,976 = 635,976 : x
  2. Step 2: Convert to fraction form
    405,417/635,976 = 635,976/x
  3. Step 3: Cross multiply
    405,417x = 635,976 × 635,976
  4. Step 4: Simplify right side
    405,417x = 404,465,472,576
  5. Step 5: Solve for x
    x = 404,465,472,576/405,417
  6. Step 6: Final answer
    x = 997,652.97

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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.