Finding the Third Proportional to 298,742 and 473,269
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Solution
The third proportional to 298,742 and 473,269 is: 749,755.80
Step by Step Solution
- Step 1: Write the proportion equation
298,742 : 473,269 = 473,269 : x - Step 2: Convert to fraction form
298,742/473,269 = 473,269/x - Step 3: Cross multiply
298,742x = 473,269 × 473,269 - Step 4: Simplify right side
298,742x = 223,983,546,361 - Step 5: Solve for x
x = 223,983,546,361/298,742 - Step 6: Final answer
x = 749,755.80
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.