Finding the Third Proportional to 830 and 1,178
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Solution
The third proportional to 830 and 1,178 is: 1,671.91
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,178 = 1,178 : x - Step 2: Convert to fraction form
830/1,178 = 1,178/x - Step 3: Cross multiply
830x = 1,178 × 1,178 - Step 4: Simplify right side
830x = 1,387,684 - Step 5: Solve for x
x = 1,387,684/830 - Step 6: Final answer
x = 1,671.91
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.