Finding the Third Proportional to 64 and 74.75
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Solution
The third proportional to 64 and 74.75 is: 87.31
Step by Step Solution
- Step 1: Write the proportion equation
64 : 74.75 = 74.75 : x - Step 2: Convert to fraction form
64/74.75 = 74.75/x - Step 3: Cross multiply
64x = 74.75 × 74.75 - Step 4: Simplify right side
64x = 5,587.56 - Step 5: Solve for x
x = 5,587.56/64 - Step 6: Final answer
x = 87.31
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.