Finding the Third Proportional to 478 and 746.50
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Solution
The third proportional to 478 and 746.50 is: 1,165.82
Step by Step Solution
- Step 1: Write the proportion equation
478 : 746.50 = 746.50 : x - Step 2: Convert to fraction form
478/746.50 = 746.50/x - Step 3: Cross multiply
478x = 746.50 × 746.50 - Step 4: Simplify right side
478x = 557,262.25 - Step 5: Solve for x
x = 557,262.25/478 - Step 6: Final answer
x = 1,165.82
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.