Finding the Third Proportional to 286,844.63 and 421,961.06
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Solution
The third proportional to 286,844.63 and 421,961.06 is: 620,723.29
Step by Step Solution
- Step 1: Write the proportion equation
286,844.63 : 421,961.06 = 421,961.06 : x - Step 2: Convert to fraction form
286,844.63/421,961.06 = 421,961.06/x - Step 3: Cross multiply
286,844.63x = 421,961.06 × 421,961.06 - Step 4: Simplify right side
286,844.63x = 178,051,138,266.13 - Step 5: Solve for x
x = 178,051,138,266.13/286,844.63 - Step 6: Final answer
x = 620,723.29
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.