Finding the Third Proportional to 256,402.13 and 398,044.13
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Solution
The third proportional to 256,402.13 and 398,044.13 is: 617,932.19
Step by Step Solution
- Step 1: Write the proportion equation
256,402.13 : 398,044.13 = 398,044.13 : x - Step 2: Convert to fraction form
256,402.13/398,044.13 = 398,044.13/x - Step 3: Cross multiply
256,402.13x = 398,044.13 × 398,044.13 - Step 4: Simplify right side
256,402.13x = 158,439,125,447.02 - Step 5: Solve for x
x = 158,439,125,447.02/256,402.13 - Step 6: Final answer
x = 617,932.19
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.