Finding the Third Proportional to 490 and 508
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Solution
The third proportional to 490 and 508 is: 526.66
Step by Step Solution
- Step 1: Write the proportion equation
490 : 508 = 508 : x - Step 2: Convert to fraction form
490/508 = 508/x - Step 3: Cross multiply
490x = 508 × 508 - Step 4: Simplify right side
490x = 258,064 - Step 5: Solve for x
x = 258,064/490 - Step 6: Final answer
x = 526.66
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These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.