Finding the Third Proportional to 431,424 and 907,470
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Solution
The third proportional to 431,424 and 907,470 is: 1,908,799.23
Step by Step Solution
- Step 1: Write the proportion equation
431,424 : 907,470 = 907,470 : x - Step 2: Convert to fraction form
431,424/907,470 = 907,470/x - Step 3: Cross multiply
431,424x = 907,470 × 907,470 - Step 4: Simplify right side
431,424x = 823,501,800,900 - Step 5: Solve for x
x = 823,501,800,900/431,424 - Step 6: Final answer
x = 1,908,799.23
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.