Finding the Third Proportional to 278 and 424
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Solution
The third proportional to 278 and 424 is: 646.68
Step by Step Solution
- Step 1: Write the proportion equation
278 : 424 = 424 : x - Step 2: Convert to fraction form
278/424 = 424/x - Step 3: Cross multiply
278x = 424 × 424 - Step 4: Simplify right side
278x = 179,776 - Step 5: Solve for x
x = 179,776/278 - Step 6: Final answer
x = 646.68
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.