Finding the Third Proportional to 700 and 910.50
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Solution
The third proportional to 700 and 910.50 is: 1,184.30
Step by Step Solution
- Step 1: Write the proportion equation
700 : 910.50 = 910.50 : x - Step 2: Convert to fraction form
700/910.50 = 910.50/x - Step 3: Cross multiply
700x = 910.50 × 910.50 - Step 4: Simplify right side
700x = 829,010.25 - Step 5: Solve for x
x = 829,010.25/700 - Step 6: Final answer
x = 1,184.30
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.