Finding the Third Proportional to 998 and 1,563.50
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Solution
The third proportional to 998 and 1,563.50 is: 2,449.43
Step by Step Solution
- Step 1: Write the proportion equation
998 : 1,563.50 = 1,563.50 : x - Step 2: Convert to fraction form
998/1,563.50 = 1,563.50/x - Step 3: Cross multiply
998x = 1,563.50 × 1,563.50 - Step 4: Simplify right side
998x = 2,444,532.25 - Step 5: Solve for x
x = 2,444,532.25/998 - Step 6: Final answer
x = 2,449.43
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.