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Finding the Third Proportional to 582.75 and 1,086.19

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Solution

The third proportional to 582.75 and 1,086.19 is: 2,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 1,086.19 = 1,086.19 : x
  2. Step 2: Convert to fraction form
    582.75/1,086.19 = 1,086.19/x
  3. Step 3: Cross multiply
    582.75x = 1,086.19 × 1,086.19
  4. Step 4: Simplify right side
    582.75x = 1,179,803.29
  5. Step 5: Solve for x
    x = 1,179,803.29/582.75
  6. Step 6: Final answer
    x = 2,024.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.