Finding the Third Proportional to 138,530.25 and 299,202.75
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Solution
The third proportional to 138,530.25 and 299,202.75 is: 646,229.15
Step by Step Solution
- Step 1: Write the proportion equation
138,530.25 : 299,202.75 = 299,202.75 : x - Step 2: Convert to fraction form
138,530.25/299,202.75 = 299,202.75/x - Step 3: Cross multiply
138,530.25x = 299,202.75 × 299,202.75 - Step 4: Simplify right side
138,530.25x = 89,522,285,607.56 - Step 5: Solve for x
x = 89,522,285,607.56/138,530.25 - Step 6: Final answer
x = 646,229.15
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.