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Finding the Third Proportional to 868.39 and 1,873.48

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Solution

The third proportional to 868.39 and 1,873.48 is: 4,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.39 : 1,873.48 = 1,873.48 : x
  2. Step 2: Convert to fraction form
    868.39/1,873.48 = 1,873.48/x
  3. Step 3: Cross multiply
    868.39x = 1,873.48 × 1,873.48
  4. Step 4: Simplify right side
    868.39x = 3,509,914.43
  5. Step 5: Solve for x
    x = 3,509,914.43/868.39
  6. Step 6: Final answer
    x = 4,041.84

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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.