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Finding the Third Proportional to 986.55 and 1,388.39

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Solution

The third proportional to 986.55 and 1,388.39 is: 1,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.55 : 1,388.39 = 1,388.39 : x
  2. Step 2: Convert to fraction form
    986.55/1,388.39 = 1,388.39/x
  3. Step 3: Cross multiply
    986.55x = 1,388.39 × 1,388.39
  4. Step 4: Simplify right side
    986.55x = 1,927,628.53
  5. Step 5: Solve for x
    x = 1,927,628.53/986.55
  6. Step 6: Final answer
    x = 1,953.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.