Finding the Third Proportional to 312,103.13 and 471,435.75
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Solution
The third proportional to 312,103.13 and 471,435.75 is: 712,109.71
Step by Step Solution
- Step 1: Write the proportion equation
312,103.13 : 471,435.75 = 471,435.75 : x - Step 2: Convert to fraction form
312,103.13/471,435.75 = 471,435.75/x - Step 3: Cross multiply
312,103.13x = 471,435.75 × 471,435.75 - Step 4: Simplify right side
312,103.13x = 222,251,666,378.06 - Step 5: Solve for x
x = 222,251,666,378.06/312,103.13 - Step 6: Final answer
x = 712,109.71
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.