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Finding the Third Proportional to 635.15 and 917.42

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Solution

The third proportional to 635.15 and 917.42 is: 1,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.15 : 917.42 = 917.42 : x
  2. Step 2: Convert to fraction form
    635.15/917.42 = 917.42/x
  3. Step 3: Cross multiply
    635.15x = 917.42 × 917.42
  4. Step 4: Simplify right side
    635.15x = 841,659.31
  5. Step 5: Solve for x
    x = 841,659.31/635.15
  6. Step 6: Final answer
    x = 1,325.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.