Finding the Third Proportional to 506 and 706.50
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Solution
The third proportional to 506 and 706.50 is: 986.45
Step by Step Solution
- Step 1: Write the proportion equation
506 : 706.50 = 706.50 : x - Step 2: Convert to fraction form
506/706.50 = 706.50/x - Step 3: Cross multiply
506x = 706.50 × 706.50 - Step 4: Simplify right side
506x = 499,142.25 - Step 5: Solve for x
x = 499,142.25/506 - Step 6: Final answer
x = 986.45
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.