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Finding the Third Proportional to 511.27 and 730.31

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Solution

The third proportional to 511.27 and 730.31 is: 1,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.27 : 730.31 = 730.31 : x
  2. Step 2: Convert to fraction form
    511.27/730.31 = 730.31/x
  3. Step 3: Cross multiply
    511.27x = 730.31 × 730.31
  4. Step 4: Simplify right side
    511.27x = 533,356.35
  5. Step 5: Solve for x
    x = 533,356.35/511.27
  6. Step 6: Final answer
    x = 1,043.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.