Finding the Third Proportional to 208,585.13 and 291,569.63
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Solution
The third proportional to 208,585.13 and 291,569.63 is: 407,569.07
Step by Step Solution
- Step 1: Write the proportion equation
208,585.13 : 291,569.63 = 291,569.63 : x - Step 2: Convert to fraction form
208,585.13/291,569.63 = 291,569.63/x - Step 3: Cross multiply
208,585.13x = 291,569.63 × 291,569.63 - Step 4: Simplify right side
208,585.13x = 85,012,846,222.64 - Step 5: Solve for x
x = 85,012,846,222.64/208,585.13 - Step 6: Final answer
x = 407,569.07
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.