Finding the Third Proportional to 278,083,714 and 420,704,595
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Solution
The third proportional to 278,083,714 and 420,704,595 is: 636,471,491.65
Step by Step Solution
- Step 1: Write the proportion equation
278,083,714 : 420,704,595 = 420,704,595 : x - Step 2: Convert to fraction form
278,083,714/420,704,595 = 420,704,595/x - Step 3: Cross multiply
278,083,714x = 420,704,595 × 420,704,595 - Step 4: Simplify right side
278,083,714x = 176,992,356,254,114,016 - Step 5: Solve for x
x = 176,992,356,254,114,016/278,083,714 - Step 6: Final answer
x = 636,471,491.65
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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.