Finding the Third Proportional to 298,977 and 402,799.50
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Solution
The third proportional to 298,977 and 402,799.50 is: 542,675.31
Step by Step Solution
- Step 1: Write the proportion equation
298,977 : 402,799.50 = 402,799.50 : x - Step 2: Convert to fraction form
298,977/402,799.50 = 402,799.50/x - Step 3: Cross multiply
298,977x = 402,799.50 × 402,799.50 - Step 4: Simplify right side
298,977x = 162,247,437,200.25 - Step 5: Solve for x
x = 162,247,437,200.25/298,977 - Step 6: Final answer
x = 542,675.31
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.