Finding the Third Proportional to 728 and 1,358
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Solution
The third proportional to 728 and 1,358 is: 2,533.19
Step by Step Solution
- Step 1: Write the proportion equation
728 : 1,358 = 1,358 : x - Step 2: Convert to fraction form
728/1,358 = 1,358/x - Step 3: Cross multiply
728x = 1,358 × 1,358 - Step 4: Simplify right side
728x = 1,844,164 - Step 5: Solve for x
x = 1,844,164/728 - Step 6: Final answer
x = 2,533.19
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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.