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Finding the Third Proportional to 382.61 and 545.41

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Solution

The third proportional to 382.61 and 545.41 is: 777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.61 : 545.41 = 545.41 : x
  2. Step 2: Convert to fraction form
    382.61/545.41 = 545.41/x
  3. Step 3: Cross multiply
    382.61x = 545.41 × 545.41
  4. Step 4: Simplify right side
    382.61x = 297,476.50
  5. Step 5: Solve for x
    x = 297,476.50/382.61
  6. Step 6: Final answer
    x = 777.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.