Finding the Third Proportional to 210 and 312
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Solution
The third proportional to 210 and 312 is: 463.54
Step by Step Solution
- Step 1: Write the proportion equation
210 : 312 = 312 : x - Step 2: Convert to fraction form
210/312 = 312/x - Step 3: Cross multiply
210x = 312 × 312 - Step 4: Simplify right side
210x = 97,344 - Step 5: Solve for x
x = 97,344/210 - Step 6: Final answer
x = 463.54
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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.