Finding the Third Proportional to 509,304 and 1,079,319
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Solution
The third proportional to 509,304 and 1,079,319 is: 2,287,296.99
Step by Step Solution
- Step 1: Write the proportion equation
509,304 : 1,079,319 = 1,079,319 : x - Step 2: Convert to fraction form
509,304/1,079,319 = 1,079,319/x - Step 3: Cross multiply
509,304x = 1,079,319 × 1,079,319 - Step 4: Simplify right side
509,304x = 1,164,929,503,761 - Step 5: Solve for x
x = 1,164,929,503,761/509,304 - Step 6: Final answer
x = 2,287,296.99
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.