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Finding the Third Proportional to 646.73 and 1,394.09

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Solution

The third proportional to 646.73 and 1,394.09 is: 3,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.73 : 1,394.09 = 1,394.09 : x
  2. Step 2: Convert to fraction form
    646.73/1,394.09 = 1,394.09/x
  3. Step 3: Cross multiply
    646.73x = 1,394.09 × 1,394.09
  4. Step 4: Simplify right side
    646.73x = 1,943,475.60
  5. Step 5: Solve for x
    x = 1,943,475.60/646.73
  6. Step 6: Final answer
    x = 3,005.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.