Finding the Third Proportional to 106,408 and 161,920
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Solution
The third proportional to 106,408 and 161,920 is: 246,392.06
Step by Step Solution
- Step 1: Write the proportion equation
106,408 : 161,920 = 161,920 : x - Step 2: Convert to fraction form
106,408/161,920 = 161,920/x - Step 3: Cross multiply
106,408x = 161,920 × 161,920 - Step 4: Simplify right side
106,408x = 26,218,086,400 - Step 5: Solve for x
x = 26,218,086,400/106,408 - Step 6: Final answer
x = 246,392.06
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.