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Finding the Third Proportional to 684.19 and 1,470.94

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Solution

The third proportional to 684.19 and 1,470.94 is: 3,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.19 : 1,470.94 = 1,470.94 : x
  2. Step 2: Convert to fraction form
    684.19/1,470.94 = 1,470.94/x
  3. Step 3: Cross multiply
    684.19x = 1,470.94 × 1,470.94
  4. Step 4: Simplify right side
    684.19x = 2,163,657.13
  5. Step 5: Solve for x
    x = 2,163,657.13/684.19
  6. Step 6: Final answer
    x = 3,162.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.