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Finding the Third Proportional to 381,496 and 589,778

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Solution

The third proportional to 381,496 and 589,778 is: 911,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,496 : 589,778 = 589,778 : x
  2. Step 2: Convert to fraction form
    381,496/589,778 = 589,778/x
  3. Step 3: Cross multiply
    381,496x = 589,778 × 589,778
  4. Step 4: Simplify right side
    381,496x = 347,838,089,284
  5. Step 5: Solve for x
    x = 347,838,089,284/381,496
  6. Step 6: Final answer
    x = 911,773.88

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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.