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Finding the Third Proportional to 511.81 and 1,203.03

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Solution

The third proportional to 511.81 and 1,203.03 is: 2,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.81 : 1,203.03 = 1,203.03 : x
  2. Step 2: Convert to fraction form
    511.81/1,203.03 = 1,203.03/x
  3. Step 3: Cross multiply
    511.81x = 1,203.03 × 1,203.03
  4. Step 4: Simplify right side
    511.81x = 1,447,284.19
  5. Step 5: Solve for x
    x = 1,447,284.19/511.81
  6. Step 6: Final answer
    x = 2,827.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.