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Finding the Third Proportional to 309.94 and 730.22

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Solution

The third proportional to 309.94 and 730.22 is: 1,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 730.22 = 730.22 : x
  2. Step 2: Convert to fraction form
    309.94/730.22 = 730.22/x
  3. Step 3: Cross multiply
    309.94x = 730.22 × 730.22
  4. Step 4: Simplify right side
    309.94x = 533,219.42
  5. Step 5: Solve for x
    x = 533,219.42/309.94
  6. Step 6: Final answer
    x = 1,720.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.