Finding the Third Proportional to 585 and 715.50
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Solution
The third proportional to 585 and 715.50 is: 875.11
Step by Step Solution
- Step 1: Write the proportion equation
585 : 715.50 = 715.50 : x - Step 2: Convert to fraction form
585/715.50 = 715.50/x - Step 3: Cross multiply
585x = 715.50 × 715.50 - Step 4: Simplify right side
585x = 511,940.25 - Step 5: Solve for x
x = 511,940.25/585 - Step 6: Final answer
x = 875.11
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.