Finding the Third Proportional to 278 and 297
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Solution
The third proportional to 278 and 297 is: 317.30
Step by Step Solution
- Step 1: Write the proportion equation
278 : 297 = 297 : x - Step 2: Convert to fraction form
278/297 = 297/x - Step 3: Cross multiply
278x = 297 × 297 - Step 4: Simplify right side
278x = 88,209 - Step 5: Solve for x
x = 88,209/278 - Step 6: Final answer
x = 317.30
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.