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Finding the Third Proportional to 684.70 and 1,490.91

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Solution

The third proportional to 684.70 and 1,490.91 is: 3,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.70 : 1,490.91 = 1,490.91 : x
  2. Step 2: Convert to fraction form
    684.70/1,490.91 = 1,490.91/x
  3. Step 3: Cross multiply
    684.70x = 1,490.91 × 1,490.91
  4. Step 4: Simplify right side
    684.70x = 2,222,801.45
  5. Step 5: Solve for x
    x = 2,222,801.45/684.70
  6. Step 6: Final answer
    x = 3,246.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.