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Finding the Third Proportional to 258,617.50 and 401,374.50

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Solution

The third proportional to 258,617.50 and 401,374.50 is: 622,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,617.50 : 401,374.50 = 401,374.50 : x
  2. Step 2: Convert to fraction form
    258,617.50/401,374.50 = 401,374.50/x
  3. Step 3: Cross multiply
    258,617.50x = 401,374.50 × 401,374.50
  4. Step 4: Simplify right side
    258,617.50x = 161,101,489,250.25
  5. Step 5: Solve for x
    x = 161,101,489,250.25/258,617.50
  6. Step 6: Final answer
    x = 622,933.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.