Finding the Third Proportional to 1,980 and 2,070
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Solution
The third proportional to 1,980 and 2,070 is: 2,164.09
Step by Step Solution
- Step 1: Write the proportion equation
1,980 : 2,070 = 2,070 : x - Step 2: Convert to fraction form
1,980/2,070 = 2,070/x - Step 3: Cross multiply
1,980x = 2,070 × 2,070 - Step 4: Simplify right side
1,980x = 4,284,900 - Step 5: Solve for x
x = 4,284,900/1,980 - Step 6: Final answer
x = 2,164.09
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These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.