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Finding the Third Proportional to 858.57 and 2,031.09

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Solution

The third proportional to 858.57 and 2,031.09 is: 4,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 2,031.09 = 2,031.09 : x
  2. Step 2: Convert to fraction form
    858.57/2,031.09 = 2,031.09/x
  3. Step 3: Cross multiply
    858.57x = 2,031.09 × 2,031.09
  4. Step 4: Simplify right side
    858.57x = 4,125,329.92
  5. Step 5: Solve for x
    x = 4,125,329.92/858.57
  6. Step 6: Final answer
    x = 4,804.89

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.