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Finding the Third Proportional to 381,502 and 589,787

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Solution

The third proportional to 381,502 and 589,787 is: 911,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,502 : 589,787 = 589,787 : x
  2. Step 2: Convert to fraction form
    381,502/589,787 = 589,787/x
  3. Step 3: Cross multiply
    381,502x = 589,787 × 589,787
  4. Step 4: Simplify right side
    381,502x = 347,848,705,369
  5. Step 5: Solve for x
    x = 347,848,705,369/381,502
  6. Step 6: Final answer
    x = 911,787.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.