Finding the Third Proportional to 913 and 1,063
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Solution
The third proportional to 913 and 1,063 is: 1,237.64
Step by Step Solution
- Step 1: Write the proportion equation
913 : 1,063 = 1,063 : x - Step 2: Convert to fraction form
913/1,063 = 1,063/x - Step 3: Cross multiply
913x = 1,063 × 1,063 - Step 4: Simplify right side
913x = 1,129,969 - Step 5: Solve for x
x = 1,129,969/913 - Step 6: Final answer
x = 1,237.64
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.