Finding the Third Proportional to 491.63 and 1,075.50
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Solution
The third proportional to 491.63 and 1,075.50 is: 2,352.81
Step by Step Solution
- Step 1: Write the proportion equation
491.63 : 1,075.50 = 1,075.50 : x - Step 2: Convert to fraction form
491.63/1,075.50 = 1,075.50/x - Step 3: Cross multiply
491.63x = 1,075.50 × 1,075.50 - Step 4: Simplify right side
491.63x = 1,156,700.25 - Step 5: Solve for x
x = 1,156,700.25/491.63 - Step 6: Final answer
x = 2,352.81
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.