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Finding the Third Proportional to 383.63 and 564.19

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Solution

The third proportional to 383.63 and 564.19 is: 829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.63 : 564.19 = 564.19 : x
  2. Step 2: Convert to fraction form
    383.63/564.19 = 564.19/x
  3. Step 3: Cross multiply
    383.63x = 564.19 × 564.19
  4. Step 4: Simplify right side
    383.63x = 318,307.54
  5. Step 5: Solve for x
    x = 318,307.54/383.63
  6. Step 6: Final answer
    x = 829.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.