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Finding the Third Proportional to 700.50 and 1,685.25

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Solution

The third proportional to 700.50 and 1,685.25 is: 4,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.50 : 1,685.25 = 1,685.25 : x
  2. Step 2: Convert to fraction form
    700.50/1,685.25 = 1,685.25/x
  3. Step 3: Cross multiply
    700.50x = 1,685.25 × 1,685.25
  4. Step 4: Simplify right side
    700.50x = 2,840,067.56
  5. Step 5: Solve for x
    x = 2,840,067.56/700.50
  6. Step 6: Final answer
    x = 4,054.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.