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Finding the Third Proportional to 381.69 and 783.63

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Solution

The third proportional to 381.69 and 783.63 is: 1,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 783.63 = 783.63 : x
  2. Step 2: Convert to fraction form
    381.69/783.63 = 783.63/x
  3. Step 3: Cross multiply
    381.69x = 783.63 × 783.63
  4. Step 4: Simplify right side
    381.69x = 614,068.14
  5. Step 5: Solve for x
    x = 614,068.14/381.69
  6. Step 6: Final answer
    x = 1,608.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.