Finding the Third Proportional to 306 and 456.50
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Solution
The third proportional to 306 and 456.50 is: 681.02
Step by Step Solution
- Step 1: Write the proportion equation
306 : 456.50 = 456.50 : x - Step 2: Convert to fraction form
306/456.50 = 456.50/x - Step 3: Cross multiply
306x = 456.50 × 456.50 - Step 4: Simplify right side
306x = 208,392.25 - Step 5: Solve for x
x = 208,392.25/306 - Step 6: Final answer
x = 681.02
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.