Finding the Third Proportional to 870 and 1,539
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Solution
The third proportional to 870 and 1,539 is: 2,722.44
Step by Step Solution
- Step 1: Write the proportion equation
870 : 1,539 = 1,539 : x - Step 2: Convert to fraction form
870/1,539 = 1,539/x - Step 3: Cross multiply
870x = 1,539 × 1,539 - Step 4: Simplify right side
870x = 2,368,521 - Step 5: Solve for x
x = 2,368,521/870 - Step 6: Final answer
x = 2,722.44
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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.