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Finding the Third Proportional to 778.36 and 1,459.90

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Solution

The third proportional to 778.36 and 1,459.90 is: 2,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.36 : 1,459.90 = 1,459.90 : x
  2. Step 2: Convert to fraction form
    778.36/1,459.90 = 1,459.90/x
  3. Step 3: Cross multiply
    778.36x = 1,459.90 × 1,459.90
  4. Step 4: Simplify right side
    778.36x = 2,131,303.45
  5. Step 5: Solve for x
    x = 2,131,303.45/778.36
  6. Step 6: Final answer
    x = 2,738.20

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.