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Finding the Third Proportional to 816.19 and 1,024.31

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Solution

The third proportional to 816.19 and 1,024.31 is: 1,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.19 : 1,024.31 = 1,024.31 : x
  2. Step 2: Convert to fraction form
    816.19/1,024.31 = 1,024.31/x
  3. Step 3: Cross multiply
    816.19x = 1,024.31 × 1,024.31
  4. Step 4: Simplify right side
    816.19x = 1,049,216.10
  5. Step 5: Solve for x
    x = 1,049,216.10/816.19
  6. Step 6: Final answer
    x = 1,285.51

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.