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Finding the Third Proportional to 1,678.50 and 3,681

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Solution

The third proportional to 1,678.50 and 3,681 is: 8,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.50 : 3,681 = 3,681 : x
  2. Step 2: Convert to fraction form
    1,678.50/3,681 = 3,681/x
  3. Step 3: Cross multiply
    1,678.50x = 3,681 × 3,681
  4. Step 4: Simplify right side
    1,678.50x = 13,549,761
  5. Step 5: Solve for x
    x = 13,549,761/1,678.50
  6. Step 6: Final answer
    x = 8,072.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.