Finding the Third Proportional to 420,878 and 1,014,287
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Solution
The third proportional to 420,878 and 1,014,287 is: 2,444,361.83
Step by Step Solution
- Step 1: Write the proportion equation
420,878 : 1,014,287 = 1,014,287 : x - Step 2: Convert to fraction form
420,878/1,014,287 = 1,014,287/x - Step 3: Cross multiply
420,878x = 1,014,287 × 1,014,287 - Step 4: Simplify right side
420,878x = 1,028,778,118,369 - Step 5: Solve for x
x = 1,028,778,118,369/420,878 - Step 6: Final answer
x = 2,444,361.83
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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.