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Finding the Third Proportional to 538.21 and 777.41

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Solution

The third proportional to 538.21 and 777.41 is: 1,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 777.41 = 777.41 : x
  2. Step 2: Convert to fraction form
    538.21/777.41 = 777.41/x
  3. Step 3: Cross multiply
    538.21x = 777.41 × 777.41
  4. Step 4: Simplify right side
    538.21x = 604,366.55
  5. Step 5: Solve for x
    x = 604,366.55/538.21
  6. Step 6: Final answer
    x = 1,122.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.