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Finding the Third Proportional to 420,852 and 635,652

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Solution

The third proportional to 420,852 and 635,652 is: 960,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,852 : 635,652 = 635,652 : x
  2. Step 2: Convert to fraction form
    420,852/635,652 = 635,652/x
  3. Step 3: Cross multiply
    420,852x = 635,652 × 635,652
  4. Step 4: Simplify right side
    420,852x = 404,053,465,104
  5. Step 5: Solve for x
    x = 404,053,465,104/420,852
  6. Step 6: Final answer
    x = 960,084.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.