Finding the Third Proportional to 9.70 and 22.99
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Solution
The third proportional to 9.70 and 22.99 is: 54.48
Step by Step Solution
- Step 1: Write the proportion equation
9.70 : 22.99 = 22.99 : x - Step 2: Convert to fraction form
9.70/22.99 = 22.99/x - Step 3: Cross multiply
9.70x = 22.99 × 22.99 - Step 4: Simplify right side
9.70x = 528.64 - Step 5: Solve for x
x = 528.64/9.70 - Step 6: Final answer
x = 54.48
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.