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Finding the Third Proportional to 385.36 and 575.77

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Solution

The third proportional to 385.36 and 575.77 is: 860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.36 : 575.77 = 575.77 : x
  2. Step 2: Convert to fraction form
    385.36/575.77 = 575.77/x
  3. Step 3: Cross multiply
    385.36x = 575.77 × 575.77
  4. Step 4: Simplify right side
    385.36x = 331,506.05
  5. Step 5: Solve for x
    x = 331,506.05/385.36
  6. Step 6: Final answer
    x = 860.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.