Finding the Third Proportional to 5,122.50 and 6,753.75
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Solution
The third proportional to 5,122.50 and 6,753.75 is: 8,904.47
Step by Step Solution
- Step 1: Write the proportion equation
5,122.50 : 6,753.75 = 6,753.75 : x - Step 2: Convert to fraction form
5,122.50/6,753.75 = 6,753.75/x - Step 3: Cross multiply
5,122.50x = 6,753.75 × 6,753.75 - Step 4: Simplify right side
5,122.50x = 45,613,139.06 - Step 5: Solve for x
x = 45,613,139.06/5,122.50 - Step 6: Final answer
x = 8,904.47
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.