Finding the Third Proportional to 670 and 1,402
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Solution
The third proportional to 670 and 1,402 is: 2,933.74
Step by Step Solution
- Step 1: Write the proportion equation
670 : 1,402 = 1,402 : x - Step 2: Convert to fraction form
670/1,402 = 1,402/x - Step 3: Cross multiply
670x = 1,402 × 1,402 - Step 4: Simplify right side
670x = 1,965,604 - Step 5: Solve for x
x = 1,965,604/670 - Step 6: Final answer
x = 2,933.74
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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.