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Finding the Third Proportional to 871.96 and 1,907.65

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Solution

The third proportional to 871.96 and 1,907.65 is: 4,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.96 : 1,907.65 = 1,907.65 : x
  2. Step 2: Convert to fraction form
    871.96/1,907.65 = 1,907.65/x
  3. Step 3: Cross multiply
    871.96x = 1,907.65 × 1,907.65
  4. Step 4: Simplify right side
    871.96x = 3,639,139.33
  5. Step 5: Solve for x
    x = 3,639,139.33/871.96
  6. Step 6: Final answer
    x = 4,173.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.