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Finding the Third Proportional to 986.63 and 1,618.31

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Solution

The third proportional to 986.63 and 1,618.31 is: 2,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.63 : 1,618.31 = 1,618.31 : x
  2. Step 2: Convert to fraction form
    986.63/1,618.31 = 1,618.31/x
  3. Step 3: Cross multiply
    986.63x = 1,618.31 × 1,618.31
  4. Step 4: Simplify right side
    986.63x = 2,618,935.35
  5. Step 5: Solve for x
    x = 2,618,935.35/986.63
  6. Step 6: Final answer
    x = 2,654.44

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.