Finding the Third Proportional to 690 and 1,506
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Solution
The third proportional to 690 and 1,506 is: 3,287.01
Step by Step Solution
- Step 1: Write the proportion equation
690 : 1,506 = 1,506 : x - Step 2: Convert to fraction form
690/1,506 = 1,506/x - Step 3: Cross multiply
690x = 1,506 × 1,506 - Step 4: Simplify right side
690x = 2,268,036 - Step 5: Solve for x
x = 2,268,036/690 - Step 6: Final answer
x = 3,287.01
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.