Finding the Third Proportional to 259 and 297
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Solution
The third proportional to 259 and 297 is: 340.58
Step by Step Solution
- Step 1: Write the proportion equation
259 : 297 = 297 : x - Step 2: Convert to fraction form
259/297 = 297/x - Step 3: Cross multiply
259x = 297 × 297 - Step 4: Simplify right side
259x = 88,209 - Step 5: Solve for x
x = 88,209/259 - Step 6: Final answer
x = 340.58
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.