Finding the Third Proportional to 691 and 778
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Solution
The third proportional to 691 and 778 is: 875.95
Step by Step Solution
- Step 1: Write the proportion equation
691 : 778 = 778 : x - Step 2: Convert to fraction form
691/778 = 778/x - Step 3: Cross multiply
691x = 778 × 778 - Step 4: Simplify right side
691x = 605,284 - Step 5: Solve for x
x = 605,284/691 - Step 6: Final answer
x = 875.95
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.