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Finding the Third Proportional to 511.45 and 690.96

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Solution

The third proportional to 511.45 and 690.96 is: 933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 690.96 = 690.96 : x
  2. Step 2: Convert to fraction form
    511.45/690.96 = 690.96/x
  3. Step 3: Cross multiply
    511.45x = 690.96 × 690.96
  4. Step 4: Simplify right side
    511.45x = 477,427.02
  5. Step 5: Solve for x
    x = 477,427.02/511.45
  6. Step 6: Final answer
    x = 933.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.