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Finding the Third Proportional to 172,629 and 274,803.75

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Solution

The third proportional to 172,629 and 274,803.75 is: 437,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,629 : 274,803.75 = 274,803.75 : x
  2. Step 2: Convert to fraction form
    172,629/274,803.75 = 274,803.75/x
  3. Step 3: Cross multiply
    172,629x = 274,803.75 × 274,803.75
  4. Step 4: Simplify right side
    172,629x = 75,517,101,014.06
  5. Step 5: Solve for x
    x = 75,517,101,014.06/172,629
  6. Step 6: Final answer
    x = 437,453.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.