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Finding the Third Proportional to 511.31 and 1,295.16

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Solution

The third proportional to 511.31 and 1,295.16 is: 3,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 1,295.16 = 1,295.16 : x
  2. Step 2: Convert to fraction form
    511.31/1,295.16 = 1,295.16/x
  3. Step 3: Cross multiply
    511.31x = 1,295.16 × 1,295.16
  4. Step 4: Simplify right side
    511.31x = 1,677,429.71
  5. Step 5: Solve for x
    x = 1,677,429.71/511.31
  6. Step 6: Final answer
    x = 3,280.64

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.