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Finding the Third Proportional to 511.15 and 1,029.43

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Solution

The third proportional to 511.15 and 1,029.43 is: 2,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.15 : 1,029.43 = 1,029.43 : x
  2. Step 2: Convert to fraction form
    511.15/1,029.43 = 1,029.43/x
  3. Step 3: Cross multiply
    511.15x = 1,029.43 × 1,029.43
  4. Step 4: Simplify right side
    511.15x = 1,059,721.46
  5. Step 5: Solve for x
    x = 1,059,721.46/511.15
  6. Step 6: Final answer
    x = 2,073.19

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.