Finding the Third Proportional to 707.25 and 763.50
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Solution
The third proportional to 707.25 and 763.50 is: 824.22
Step by Step Solution
- Step 1: Write the proportion equation
707.25 : 763.50 = 763.50 : x - Step 2: Convert to fraction form
707.25/763.50 = 763.50/x - Step 3: Cross multiply
707.25x = 763.50 × 763.50 - Step 4: Simplify right side
707.25x = 582,932.25 - Step 5: Solve for x
x = 582,932.25/707.25 - Step 6: Final answer
x = 824.22
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.