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Finding the Third Proportional to 276,640 and 439,152

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Solution

The third proportional to 276,640 and 439,152 is: 697,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,640 : 439,152 = 439,152 : x
  2. Step 2: Convert to fraction form
    276,640/439,152 = 439,152/x
  3. Step 3: Cross multiply
    276,640x = 439,152 × 439,152
  4. Step 4: Simplify right side
    276,640x = 192,854,479,104
  5. Step 5: Solve for x
    x = 192,854,479,104/276,640
  6. Step 6: Final answer
    x = 697,131.58

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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.