Finding the Third Proportional to 468 and 646
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Solution
The third proportional to 468 and 646 is: 891.70
Step by Step Solution
- Step 1: Write the proportion equation
468 : 646 = 646 : x - Step 2: Convert to fraction form
468/646 = 646/x - Step 3: Cross multiply
468x = 646 × 646 - Step 4: Simplify right side
468x = 417,316 - Step 5: Solve for x
x = 417,316/468 - Step 6: Final answer
x = 891.70
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.