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Finding the Third Proportional to 858.57 and 1,294.26

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Solution

The third proportional to 858.57 and 1,294.26 is: 1,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 1,294.26 = 1,294.26 : x
  2. Step 2: Convert to fraction form
    858.57/1,294.26 = 1,294.26/x
  3. Step 3: Cross multiply
    858.57x = 1,294.26 × 1,294.26
  4. Step 4: Simplify right side
    858.57x = 1,675,108.34
  5. Step 5: Solve for x
    x = 1,675,108.34/858.57
  6. Step 6: Final answer
    x = 1,951.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.