Finding the Third Proportional to 211,448,064 and 297,769,968
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Solution
The third proportional to 211,448,064 and 297,769,968 is: 419,332,067.48
Step by Step Solution
- Step 1: Write the proportion equation
211,448,064 : 297,769,968 = 297,769,968 : x - Step 2: Convert to fraction form
211,448,064/297,769,968 = 297,769,968/x - Step 3: Cross multiply
211,448,064x = 297,769,968 × 297,769,968 - Step 4: Simplify right side
211,448,064x = 88,666,953,842,721,024 - Step 5: Solve for x
x = 88,666,953,842,721,024/211,448,064 - Step 6: Final answer
x = 419,332,067.48
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.