Finding the Third Proportional to 297 and 538.50
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Solution
The third proportional to 297 and 538.50 is: 976.37
Step by Step Solution
- Step 1: Write the proportion equation
297 : 538.50 = 538.50 : x - Step 2: Convert to fraction form
297/538.50 = 538.50/x - Step 3: Cross multiply
297x = 538.50 × 538.50 - Step 4: Simplify right side
297x = 289,982.25 - Step 5: Solve for x
x = 289,982.25/297 - Step 6: Final answer
x = 976.37
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Why These Related Problems?
These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.