Finding the Third Proportional to 490 and 792.50
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Solution
The third proportional to 490 and 792.50 is: 1,281.75
Step by Step Solution
- Step 1: Write the proportion equation
490 : 792.50 = 792.50 : x - Step 2: Convert to fraction form
490/792.50 = 792.50/x - Step 3: Cross multiply
490x = 792.50 × 792.50 - Step 4: Simplify right side
490x = 628,056.25 - Step 5: Solve for x
x = 628,056.25/490 - Step 6: Final answer
x = 1,281.75
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.