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Finding the Third Proportional to 509,120 and 691,104

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Solution

The third proportional to 509,120 and 691,104 is: 938,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,120 : 691,104 = 691,104 : x
  2. Step 2: Convert to fraction form
    509,120/691,104 = 691,104/x
  3. Step 3: Cross multiply
    509,120x = 691,104 × 691,104
  4. Step 4: Simplify right side
    509,120x = 477,624,738,816
  5. Step 5: Solve for x
    x = 477,624,738,816/509,120
  6. Step 6: Final answer
    x = 938,137.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.