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Finding the Third Proportional to 274,152 and 408,955

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Solution

The third proportional to 274,152 and 408,955 is: 610,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,152 : 408,955 = 408,955 : x
  2. Step 2: Convert to fraction form
    274,152/408,955 = 408,955/x
  3. Step 3: Cross multiply
    274,152x = 408,955 × 408,955
  4. Step 4: Simplify right side
    274,152x = 167,244,192,025
  5. Step 5: Solve for x
    x = 167,244,192,025/274,152
  6. Step 6: Final answer
    x = 610,041.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.