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Finding the Third Proportional to 383.75 and 577.63

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Solution

The third proportional to 383.75 and 577.63 is: 869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.75 : 577.63 = 577.63 : x
  2. Step 2: Convert to fraction form
    383.75/577.63 = 577.63/x
  3. Step 3: Cross multiply
    383.75x = 577.63 × 577.63
  4. Step 4: Simplify right side
    383.75x = 333,650.64
  5. Step 5: Solve for x
    x = 333,650.64/383.75
  6. Step 6: Final answer
    x = 869.45

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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.