Finding the Third Proportional to 286,083,396 and 431,221,332
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Solution
The third proportional to 286,083,396 and 431,221,332 is: 649,991,714.90
Step by Step Solution
- Step 1: Write the proportion equation
286,083,396 : 431,221,332 = 431,221,332 : x - Step 2: Convert to fraction form
286,083,396/431,221,332 = 431,221,332/x - Step 3: Cross multiply
286,083,396x = 431,221,332 × 431,221,332 - Step 4: Simplify right side
286,083,396x = 185,951,837,171,854,208 - Step 5: Solve for x
x = 185,951,837,171,854,208/286,083,396 - Step 6: Final answer
x = 649,991,714.90
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.