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Finding the Third Proportional to 259,167.75 and 405,672

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Solution

The third proportional to 259,167.75 and 405,672 is: 634,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,167.75 : 405,672 = 405,672 : x
  2. Step 2: Convert to fraction form
    259,167.75/405,672 = 405,672/x
  3. Step 3: Cross multiply
    259,167.75x = 405,672 × 405,672
  4. Step 4: Simplify right side
    259,167.75x = 164,569,771,584
  5. Step 5: Solve for x
    x = 164,569,771,584/259,167.75
  6. Step 6: Final answer
    x = 634,993.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.