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Finding the Third Proportional to 426.69 and 920.88

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Solution

The third proportional to 426.69 and 920.88 is: 1,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.69 : 920.88 = 920.88 : x
  2. Step 2: Convert to fraction form
    426.69/920.88 = 920.88/x
  3. Step 3: Cross multiply
    426.69x = 920.88 × 920.88
  4. Step 4: Simplify right side
    426.69x = 848,010.77
  5. Step 5: Solve for x
    x = 848,010.77/426.69
  6. Step 6: Final answer
    x = 1,987.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.