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Finding the Third Proportional to 684.70 and 1,497.23

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Solution

The third proportional to 684.70 and 1,497.23 is: 3,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.70 : 1,497.23 = 1,497.23 : x
  2. Step 2: Convert to fraction form
    684.70/1,497.23 = 1,497.23/x
  3. Step 3: Cross multiply
    684.70x = 1,497.23 × 1,497.23
  4. Step 4: Simplify right side
    684.70x = 2,241,710.77
  5. Step 5: Solve for x
    x = 2,241,710.77/684.70
  6. Step 6: Final answer
    x = 3,273.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.