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Finding the Third Proportional to 684.97 and 1,059.42

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Solution

The third proportional to 684.97 and 1,059.42 is: 1,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.97 : 1,059.42 = 1,059.42 : x
  2. Step 2: Convert to fraction form
    684.97/1,059.42 = 1,059.42/x
  3. Step 3: Cross multiply
    684.97x = 1,059.42 × 1,059.42
  4. Step 4: Simplify right side
    684.97x = 1,122,374.71
  5. Step 5: Solve for x
    x = 1,122,374.71/684.97
  6. Step 6: Final answer
    x = 1,638.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.