Finding the Third Proportional to 306 and 497.50
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Solution
The third proportional to 306 and 497.50 is: 808.84
Step by Step Solution
- Step 1: Write the proportion equation
306 : 497.50 = 497.50 : x - Step 2: Convert to fraction form
306/497.50 = 497.50/x - Step 3: Cross multiply
306x = 497.50 × 497.50 - Step 4: Simplify right side
306x = 247,506.25 - Step 5: Solve for x
x = 247,506.25/306 - Step 6: Final answer
x = 808.84
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.