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Finding the Third Proportional to 245.37 and 368.77

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Solution

The third proportional to 245.37 and 368.77 is: 554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.37 : 368.77 = 368.77 : x
  2. Step 2: Convert to fraction form
    245.37/368.77 = 368.77/x
  3. Step 3: Cross multiply
    245.37x = 368.77 × 368.77
  4. Step 4: Simplify right side
    245.37x = 135,992.41
  5. Step 5: Solve for x
    x = 135,992.41/245.37
  6. Step 6: Final answer
    x = 554.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.