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Finding the Third Proportional to 1,708.80 and 3,684.34

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Solution

The third proportional to 1,708.80 and 3,684.34 is: 7,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.80 : 3,684.34 = 3,684.34 : x
  2. Step 2: Convert to fraction form
    1,708.80/3,684.34 = 3,684.34/x
  3. Step 3: Cross multiply
    1,708.80x = 3,684.34 × 3,684.34
  4. Step 4: Simplify right side
    1,708.80x = 13,574,360.08
  5. Step 5: Solve for x
    x = 13,574,360.08/1,708.80
  6. Step 6: Final answer
    x = 7,943.78

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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.