Finding the Third Proportional to 930 and 1,820
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Solution
The third proportional to 930 and 1,820 is: 3,561.72
Step by Step Solution
- Step 1: Write the proportion equation
930 : 1,820 = 1,820 : x - Step 2: Convert to fraction form
930/1,820 = 1,820/x - Step 3: Cross multiply
930x = 1,820 × 1,820 - Step 4: Simplify right side
930x = 3,312,400 - Step 5: Solve for x
x = 3,312,400/930 - Step 6: Final answer
x = 3,561.72
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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.