Finding the Third Proportional to 274,843.13 and 420,438.75
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Solution
The third proportional to 274,843.13 and 420,438.75 is: 643,162.32
Step by Step Solution
- Step 1: Write the proportion equation
274,843.13 : 420,438.75 = 420,438.75 : x - Step 2: Convert to fraction form
274,843.13/420,438.75 = 420,438.75/x - Step 3: Cross multiply
274,843.13x = 420,438.75 × 420,438.75 - Step 4: Simplify right side
274,843.13x = 176,768,742,501.56 - Step 5: Solve for x
x = 176,768,742,501.56/274,843.13 - Step 6: Final answer
x = 643,162.32
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.