Finding the Third Proportional to 316 and 509.50
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Solution
The third proportional to 316 and 509.50 is: 821.49
Step by Step Solution
- Step 1: Write the proportion equation
316 : 509.50 = 509.50 : x - Step 2: Convert to fraction form
316/509.50 = 509.50/x - Step 3: Cross multiply
316x = 509.50 × 509.50 - Step 4: Simplify right side
316x = 259,590.25 - Step 5: Solve for x
x = 259,590.25/316 - Step 6: Final answer
x = 821.49
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.