Finding the Third Proportional to 982,268,068,480 and 2,137,501,375,156
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Solution
The third proportional to 982,268,068,480 and 2,137,501,375,156 is: 4,651,390,262,399.45
Step by Step Solution
- Step 1: Write the proportion equation
982,268,068,480 : 2,137,501,375,156 = 2,137,501,375,156 : x - Step 2: Convert to fraction form
982,268,068,480/2,137,501,375,156 = 2,137,501,375,156/x - Step 3: Cross multiply
982,268,068,480x = 2,137,501,375,156 × 2,137,501,375,156 - Step 4: Simplify right side
982,268,068,480x = 4,568,912,128,793,791,317,409,792 - Step 5: Solve for x
x = 4,568,912,128,793,791,317,409,792/982,268,068,480 - Step 6: Final answer
x = 4,651,390,262,399.45
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.