Finding the Third Proportional to 776 and 882
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Solution
The third proportional to 776 and 882 is: 1,002.48
Step by Step Solution
- Step 1: Write the proportion equation
776 : 882 = 882 : x - Step 2: Convert to fraction form
776/882 = 882/x - Step 3: Cross multiply
776x = 882 × 882 - Step 4: Simplify right side
776x = 777,924 - Step 5: Solve for x
x = 777,924/776 - Step 6: Final answer
x = 1,002.48
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.