Finding the Third Proportional to 294.75 and 455.63
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Solution
The third proportional to 294.75 and 455.63 is: 704.31
Step by Step Solution
- Step 1: Write the proportion equation
294.75 : 455.63 = 455.63 : x - Step 2: Convert to fraction form
294.75/455.63 = 455.63/x - Step 3: Cross multiply
294.75x = 455.63 × 455.63 - Step 4: Simplify right side
294.75x = 207,594.14 - Step 5: Solve for x
x = 207,594.14/294.75 - Step 6: Final answer
x = 704.31
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.