Finding the Third Proportional to 200,980.13 and 319,920.19
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Solution
The third proportional to 200,980.13 and 319,920.19 is: 509,248.99
Step by Step Solution
- Step 1: Write the proportion equation
200,980.13 : 319,920.19 = 319,920.19 : x - Step 2: Convert to fraction form
200,980.13/319,920.19 = 319,920.19/x - Step 3: Cross multiply
200,980.13x = 319,920.19 × 319,920.19 - Step 4: Simplify right side
200,980.13x = 102,348,926,370.04 - Step 5: Solve for x
x = 102,348,926,370.04/200,980.13 - Step 6: Final answer
x = 509,248.99
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.