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Finding the Third Proportional to 382.54 and 802.09

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Solution

The third proportional to 382.54 and 802.09 is: 1,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.54 : 802.09 = 802.09 : x
  2. Step 2: Convert to fraction form
    382.54/802.09 = 802.09/x
  3. Step 3: Cross multiply
    382.54x = 802.09 × 802.09
  4. Step 4: Simplify right side
    382.54x = 643,348.12
  5. Step 5: Solve for x
    x = 643,348.12/382.54
  6. Step 6: Final answer
    x = 1,681.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.