Finding the Third Proportional to 42,948 and 65,703
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Solution
The third proportional to 42,948 and 65,703 is: 100,514.21
Step by Step Solution
- Step 1: Write the proportion equation
42,948 : 65,703 = 65,703 : x - Step 2: Convert to fraction form
42,948/65,703 = 65,703/x - Step 3: Cross multiply
42,948x = 65,703 × 65,703 - Step 4: Simplify right side
42,948x = 4,316,884,209 - Step 5: Solve for x
x = 4,316,884,209/42,948 - Step 6: Final answer
x = 100,514.21
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.