Finding the Third Proportional to 306,769,266 and 431,491,455
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Solution
The third proportional to 306,769,266 and 431,491,455 is: 606,921,541.28
Step by Step Solution
- Step 1: Write the proportion equation
306,769,266 : 431,491,455 = 431,491,455 : x - Step 2: Convert to fraction form
306,769,266/431,491,455 = 431,491,455/x - Step 3: Cross multiply
306,769,266x = 431,491,455 × 431,491,455 - Step 4: Simplify right side
306,769,266x = 186,184,875,738,017,024 - Step 5: Solve for x
x = 186,184,875,738,017,024/306,769,266 - Step 6: Final answer
x = 606,921,541.28
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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.