Finding the Third Proportional to 670 and 1,188
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Solution
The third proportional to 670 and 1,188 is: 2,106.48
Step by Step Solution
- Step 1: Write the proportion equation
670 : 1,188 = 1,188 : x - Step 2: Convert to fraction form
670/1,188 = 1,188/x - Step 3: Cross multiply
670x = 1,188 × 1,188 - Step 4: Simplify right side
670x = 1,411,344 - Step 5: Solve for x
x = 1,411,344/670 - Step 6: Final answer
x = 2,106.48
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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.