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Finding the Third Proportional to 376.84 and 810.87

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Solution

The third proportional to 376.84 and 810.87 is: 1,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.84 : 810.87 = 810.87 : x
  2. Step 2: Convert to fraction form
    376.84/810.87 = 810.87/x
  3. Step 3: Cross multiply
    376.84x = 810.87 × 810.87
  4. Step 4: Simplify right side
    376.84x = 657,510.35
  5. Step 5: Solve for x
    x = 657,510.35/376.84
  6. Step 6: Final answer
    x = 1,744.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.