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Finding the Third Proportional to 369.51 and 556.98

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Solution

The third proportional to 369.51 and 556.98 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.51 : 556.98 = 556.98 : x
  2. Step 2: Convert to fraction form
    369.51/556.98 = 556.98/x
  3. Step 3: Cross multiply
    369.51x = 556.98 × 556.98
  4. Step 4: Simplify right side
    369.51x = 310,227.24
  5. Step 5: Solve for x
    x = 310,227.24/369.51
  6. Step 6: Final answer
    x = 839.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.