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Finding the Third Proportional to 858.52 and 1,881.14

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Solution

The third proportional to 858.52 and 1,881.14 is: 4,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.52 : 1,881.14 = 1,881.14 : x
  2. Step 2: Convert to fraction form
    858.52/1,881.14 = 1,881.14/x
  3. Step 3: Cross multiply
    858.52x = 1,881.14 × 1,881.14
  4. Step 4: Simplify right side
    858.52x = 3,538,690.05
  5. Step 5: Solve for x
    x = 3,538,690.05/858.52
  6. Step 6: Final answer
    x = 4,121.87

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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.