Finding the Third Proportional to 989 and 1,522
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Solution
The third proportional to 989 and 1,522 is: 2,342.25
Step by Step Solution
- Step 1: Write the proportion equation
989 : 1,522 = 1,522 : x - Step 2: Convert to fraction form
989/1,522 = 1,522/x - Step 3: Cross multiply
989x = 1,522 × 1,522 - Step 4: Simplify right side
989x = 2,316,484 - Step 5: Solve for x
x = 2,316,484/989 - Step 6: Final answer
x = 2,342.25
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.