Finding the Third Proportional to 258 and 424.50
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Solution
The third proportional to 258 and 424.50 is: 698.45
Step by Step Solution
- Step 1: Write the proportion equation
258 : 424.50 = 424.50 : x - Step 2: Convert to fraction form
258/424.50 = 424.50/x - Step 3: Cross multiply
258x = 424.50 × 424.50 - Step 4: Simplify right side
258x = 180,200.25 - Step 5: Solve for x
x = 180,200.25/258 - Step 6: Final answer
x = 698.45
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.