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Finding the Third Proportional to 180,939 and 259,717.50

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Solution

The third proportional to 180,939 and 259,717.50 is: 372,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,939 : 259,717.50 = 259,717.50 : x
  2. Step 2: Convert to fraction form
    180,939/259,717.50 = 259,717.50/x
  3. Step 3: Cross multiply
    180,939x = 259,717.50 × 259,717.50
  4. Step 4: Simplify right side
    180,939x = 67,453,179,806.25
  5. Step 5: Solve for x
    x = 67,453,179,806.25/180,939
  6. Step 6: Final answer
    x = 372,795.14

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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.