Finding the Third Proportional to 145,864.13 and 213,207.19
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Solution
The third proportional to 145,864.13 and 213,207.19 is: 311,641.43
Step by Step Solution
- Step 1: Write the proportion equation
145,864.13 : 213,207.19 = 213,207.19 : x - Step 2: Convert to fraction form
145,864.13/213,207.19 = 213,207.19/x - Step 3: Cross multiply
145,864.13x = 213,207.19 × 213,207.19 - Step 4: Simplify right side
145,864.13x = 45,457,304,801.66 - Step 5: Solve for x
x = 45,457,304,801.66/145,864.13 - Step 6: Final answer
x = 311,641.43
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.