Finding the Third Proportional to 424,736,155,494 and 910,055,123,388
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Solution
The third proportional to 424,736,155,494 and 910,055,123,388 is: 1,949,917,182,448.22
Step by Step Solution
- Step 1: Write the proportion equation
424,736,155,494 : 910,055,123,388 = 910,055,123,388 : x - Step 2: Convert to fraction form
424,736,155,494/910,055,123,388 = 910,055,123,388/x - Step 3: Cross multiply
424,736,155,494x = 910,055,123,388 × 910,055,123,388 - Step 4: Simplify right side
424,736,155,494x = 828,200,327,604,747,951,407,104 - Step 5: Solve for x
x = 828,200,327,604,747,951,407,104/424,736,155,494 - Step 6: Final answer
x = 1,949,917,182,448.22
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.