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Finding the Third Proportional to 515.95 and 778.15

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Solution

The third proportional to 515.95 and 778.15 is: 1,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.95 : 778.15 = 778.15 : x
  2. Step 2: Convert to fraction form
    515.95/778.15 = 778.15/x
  3. Step 3: Cross multiply
    515.95x = 778.15 × 778.15
  4. Step 4: Simplify right side
    515.95x = 605,514.99
  5. Step 5: Solve for x
    x = 605,514.99/515.95
  6. Step 6: Final answer
    x = 1,173.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.