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Finding the Third Proportional to 386.06 and 566.06

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Solution

The third proportional to 386.06 and 566.06 is: 829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.06 : 566.06 = 566.06 : x
  2. Step 2: Convert to fraction form
    386.06/566.06 = 566.06/x
  3. Step 3: Cross multiply
    386.06x = 566.06 × 566.06
  4. Step 4: Simplify right side
    386.06x = 320,426.75
  5. Step 5: Solve for x
    x = 320,426.75/386.06
  6. Step 6: Final answer
    x = 829.99

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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.