Finding the Third Proportional to 257,934.94 and 344,005.31
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Solution
The third proportional to 257,934.94 and 344,005.31 is: 458,796.53
Step by Step Solution
- Step 1: Write the proportion equation
257,934.94 : 344,005.31 = 344,005.31 : x - Step 2: Convert to fraction form
257,934.94/344,005.31 = 344,005.31/x - Step 3: Cross multiply
257,934.94x = 344,005.31 × 344,005.31 - Step 4: Simplify right side
257,934.94x = 118,339,655,028.22 - Step 5: Solve for x
x = 118,339,655,028.22/257,934.94 - Step 6: Final answer
x = 458,796.53
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.