Finding the Third Proportional to 278,083,710 and 420,704,589
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Solution
The third proportional to 278,083,710 and 420,704,589 is: 636,471,482.65
Step by Step Solution
- Step 1: Write the proportion equation
278,083,710 : 420,704,589 = 420,704,589 : x - Step 2: Convert to fraction form
278,083,710/420,704,589 = 420,704,589/x - Step 3: Cross multiply
278,083,710x = 420,704,589 × 420,704,589 - Step 4: Simplify right side
278,083,710x = 176,992,351,205,658,912 - Step 5: Solve for x
x = 176,992,351,205,658,912/278,083,710 - Step 6: Final answer
x = 636,471,482.65
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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.