Finding the Third Proportional to 413 and 697
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Solution
The third proportional to 413 and 697 is: 1,176.29
Step by Step Solution
- Step 1: Write the proportion equation
413 : 697 = 697 : x - Step 2: Convert to fraction form
413/697 = 697/x - Step 3: Cross multiply
413x = 697 × 697 - Step 4: Simplify right side
413x = 485,809 - Step 5: Solve for x
x = 485,809/413 - Step 6: Final answer
x = 1,176.29
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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.