Finding the Third Proportional to 642.75 and 1,035
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Solution
The third proportional to 642.75 and 1,035 is: 1,666.63
Step by Step Solution
- Step 1: Write the proportion equation
642.75 : 1,035 = 1,035 : x - Step 2: Convert to fraction form
642.75/1,035 = 1,035/x - Step 3: Cross multiply
642.75x = 1,035 × 1,035 - Step 4: Simplify right side
642.75x = 1,071,225 - Step 5: Solve for x
x = 1,071,225/642.75 - Step 6: Final answer
x = 1,666.63
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.