Finding the Third Proportional to 198,160,920 and 306,076,824
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Solution
The third proportional to 198,160,920 and 306,076,824 is: 472,762,349.86
Step by Step Solution
- Step 1: Write the proportion equation
198,160,920 : 306,076,824 = 306,076,824 : x - Step 2: Convert to fraction form
198,160,920/306,076,824 = 306,076,824/x - Step 3: Cross multiply
198,160,920x = 306,076,824 × 306,076,824 - Step 4: Simplify right side
198,160,920x = 93,683,022,189,926,976 - Step 5: Solve for x
x = 93,683,022,189,926,976/198,160,920 - Step 6: Final answer
x = 472,762,349.86
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.