Finding the Third Proportional to 257,523.75 and 392,282.75
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Solution
The third proportional to 257,523.75 and 392,282.75 is: 597,559.47
Step by Step Solution
- Step 1: Write the proportion equation
257,523.75 : 392,282.75 = 392,282.75 : x - Step 2: Convert to fraction form
257,523.75/392,282.75 = 392,282.75/x - Step 3: Cross multiply
257,523.75x = 392,282.75 × 392,282.75 - Step 4: Simplify right side
257,523.75x = 153,885,755,947.56 - Step 5: Solve for x
x = 153,885,755,947.56/257,523.75 - Step 6: Final answer
x = 597,559.47
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.