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Finding the Third Proportional to 386.23 and 566.05

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Solution

The third proportional to 386.23 and 566.05 is: 829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.23 : 566.05 = 566.05 : x
  2. Step 2: Convert to fraction form
    386.23/566.05 = 566.05/x
  3. Step 3: Cross multiply
    386.23x = 566.05 × 566.05
  4. Step 4: Simplify right side
    386.23x = 320,413.49
  5. Step 5: Solve for x
    x = 320,413.49/386.23
  6. Step 6: Final answer
    x = 829.60

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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.