Finding the Third Proportional to 142,219,275,120 and 205,482,292,971.75
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Solution
The third proportional to 142,219,275,120 and 205,482,292,971.75 is: 296,886,428,997.07
Step by Step Solution
- Step 1: Write the proportion equation
142,219,275,120 : 205,482,292,971.75 = 205,482,292,971.75 : x - Step 2: Convert to fraction form
142,219,275,120/205,482,292,971.75 = 205,482,292,971.75/x - Step 3: Cross multiply
142,219,275,120x = 205,482,292,971.75 × 205,482,292,971.75 - Step 4: Simplify right side
142,219,275,120x = 42,222,972,724,928,099,385,344 - Step 5: Solve for x
x = 42,222,972,724,928,099,385,344/142,219,275,120 - Step 6: Final answer
x = 296,886,428,997.07
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.