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Finding the Third Proportional to 635,133 and 902,794.50

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Solution

The third proportional to 635,133 and 902,794.50 is: 1,283,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,133 : 902,794.50 = 902,794.50 : x
  2. Step 2: Convert to fraction form
    635,133/902,794.50 = 902,794.50/x
  3. Step 3: Cross multiply
    635,133x = 902,794.50 × 902,794.50
  4. Step 4: Simplify right side
    635,133x = 815,037,909,230.25
  5. Step 5: Solve for x
    x = 815,037,909,230.25/635,133
  6. Step 6: Final answer
    x = 1,283,255.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.