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Finding the Third Proportional to 301,170 and 401,505.75

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Solution

The third proportional to 301,170 and 401,505.75 is: 535,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,170 : 401,505.75 = 401,505.75 : x
  2. Step 2: Convert to fraction form
    301,170/401,505.75 = 401,505.75/x
  3. Step 3: Cross multiply
    301,170x = 401,505.75 × 401,505.75
  4. Step 4: Simplify right side
    301,170x = 161,206,867,283.06
  5. Step 5: Solve for x
    x = 161,206,867,283.06/301,170
  6. Step 6: Final answer
    x = 535,268.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.