Finding the Third Proportional to 975 and 1,242
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Solution
The third proportional to 975 and 1,242 is: 1,582.12
Step by Step Solution
- Step 1: Write the proportion equation
975 : 1,242 = 1,242 : x - Step 2: Convert to fraction form
975/1,242 = 1,242/x - Step 3: Cross multiply
975x = 1,242 × 1,242 - Step 4: Simplify right side
975x = 1,542,564 - Step 5: Solve for x
x = 1,542,564/975 - Step 6: Final answer
x = 1,582.12
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.