Finding the Third Proportional to 542 and 1,335
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Solution
The third proportional to 542 and 1,335 is: 3,288.24
Step by Step Solution
- Step 1: Write the proportion equation
542 : 1,335 = 1,335 : x - Step 2: Convert to fraction form
542/1,335 = 1,335/x - Step 3: Cross multiply
542x = 1,335 × 1,335 - Step 4: Simplify right side
542x = 1,782,225 - Step 5: Solve for x
x = 1,782,225/542 - Step 6: Final answer
x = 3,288.24
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These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.