Finding the Third Proportional to 256,209.75 and 382,244.63
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Solution
The third proportional to 256,209.75 and 382,244.63 is: 570,278.66
Step by Step Solution
- Step 1: Write the proportion equation
256,209.75 : 382,244.63 = 382,244.63 : x - Step 2: Convert to fraction form
256,209.75/382,244.63 = 382,244.63/x - Step 3: Cross multiply
256,209.75x = 382,244.63 × 382,244.63 - Step 4: Simplify right side
256,209.75x = 146,110,953,341.39 - Step 5: Solve for x
x = 146,110,953,341.39/256,209.75 - Step 6: Final answer
x = 570,278.66
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.