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Finding the Third Proportional to 1,388.25 and 3,006.84

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Solution

The third proportional to 1,388.25 and 3,006.84 is: 6,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.25 : 3,006.84 = 3,006.84 : x
  2. Step 2: Convert to fraction form
    1,388.25/3,006.84 = 3,006.84/x
  3. Step 3: Cross multiply
    1,388.25x = 3,006.84 × 3,006.84
  4. Step 4: Simplify right side
    1,388.25x = 9,041,109.34
  5. Step 5: Solve for x
    x = 9,041,109.34/1,388.25
  6. Step 6: Final answer
    x = 6,512.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.