Finding the Third Proportional to 762 and 973.50
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Solution
The third proportional to 762 and 973.50 is: 1,243.70
Step by Step Solution
- Step 1: Write the proportion equation
762 : 973.50 = 973.50 : x - Step 2: Convert to fraction form
762/973.50 = 973.50/x - Step 3: Cross multiply
762x = 973.50 × 973.50 - Step 4: Simplify right side
762x = 947,702.25 - Step 5: Solve for x
x = 947,702.25/762 - Step 6: Final answer
x = 1,243.70
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.