Finding the Third Proportional to 7,310 and 9,873
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Solution
The third proportional to 7,310 and 9,873 is: 13,334.63
Step by Step Solution
- Step 1: Write the proportion equation
7,310 : 9,873 = 9,873 : x - Step 2: Convert to fraction form
7,310/9,873 = 9,873/x - Step 3: Cross multiply
7,310x = 9,873 × 9,873 - Step 4: Simplify right side
7,310x = 97,476,129 - Step 5: Solve for x
x = 97,476,129/7,310 - Step 6: Final answer
x = 13,334.63
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.