Finding the Third Proportional to 1,352 and 1,456
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Solution
The third proportional to 1,352 and 1,456 is: 1,568
Step by Step Solution
- Step 1: Write the proportion equation
1,352 : 1,456 = 1,456 : x - Step 2: Convert to fraction form
1,352/1,456 = 1,456/x - Step 3: Cross multiply
1,352x = 1,456 × 1,456 - Step 4: Simplify right side
1,352x = 2,119,936 - Step 5: Solve for x
x = 2,119,936/1,352 - Step 6: Final answer
x = 1,568
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.