Finding the Third Proportional to 278 and 322
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Solution
The third proportional to 278 and 322 is: 372.96
Step by Step Solution
- Step 1: Write the proportion equation
278 : 322 = 322 : x - Step 2: Convert to fraction form
278/322 = 322/x - Step 3: Cross multiply
278x = 322 × 322 - Step 4: Simplify right side
278x = 103,684 - Step 5: Solve for x
x = 103,684/278 - Step 6: Final answer
x = 372.96
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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.