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Finding the Third Proportional to 511.52 and 783.21

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Solution

The third proportional to 511.52 and 783.21 is: 1,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 783.21 = 783.21 : x
  2. Step 2: Convert to fraction form
    511.52/783.21 = 783.21/x
  3. Step 3: Cross multiply
    511.52x = 783.21 × 783.21
  4. Step 4: Simplify right side
    511.52x = 613,419.37
  5. Step 5: Solve for x
    x = 613,419.37/511.52
  6. Step 6: Final answer
    x = 1,199.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.