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Finding the Third Proportional to 917.26 and 1,211.68

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Solution

The third proportional to 917.26 and 1,211.68 is: 1,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,211.68 = 1,211.68 : x
  2. Step 2: Convert to fraction form
    917.26/1,211.68 = 1,211.68/x
  3. Step 3: Cross multiply
    917.26x = 1,211.68 × 1,211.68
  4. Step 4: Simplify right side
    917.26x = 1,468,162.93
  5. Step 5: Solve for x
    x = 1,468,162.93/917.26
  6. Step 6: Final answer
    x = 1,600.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.