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Finding the Third Proportional to 369.63 and 728.93

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Solution

The third proportional to 369.63 and 728.93 is: 1,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.63 : 728.93 = 728.93 : x
  2. Step 2: Convert to fraction form
    369.63/728.93 = 728.93/x
  3. Step 3: Cross multiply
    369.63x = 728.93 × 728.93
  4. Step 4: Simplify right side
    369.63x = 531,338.49
  5. Step 5: Solve for x
    x = 531,338.49/369.63
  6. Step 6: Final answer
    x = 1,437.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.