Finding the Third Proportional to 20,270 and 30,297
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Solution
The third proportional to 20,270 and 30,297 is: 45,284.08
Step by Step Solution
- Step 1: Write the proportion equation
20,270 : 30,297 = 30,297 : x - Step 2: Convert to fraction form
20,270/30,297 = 30,297/x - Step 3: Cross multiply
20,270x = 30,297 × 30,297 - Step 4: Simplify right side
20,270x = 917,908,209 - Step 5: Solve for x
x = 917,908,209/20,270 - Step 6: Final answer
x = 45,284.08
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.