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Finding the Third Proportional to 418.69 and 858.47

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Solution

The third proportional to 418.69 and 858.47 is: 1,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.69 : 858.47 = 858.47 : x
  2. Step 2: Convert to fraction form
    418.69/858.47 = 858.47/x
  3. Step 3: Cross multiply
    418.69x = 858.47 × 858.47
  4. Step 4: Simplify right side
    418.69x = 736,968.59
  5. Step 5: Solve for x
    x = 736,968.59/418.69
  6. Step 6: Final answer
    x = 1,760.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.