Finding the Third Proportional to 71,523.84 and 157,809.09
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Solution
The third proportional to 71,523.84 and 157,809.09 is: 348,187.52
Step by Step Solution
- Step 1: Write the proportion equation
71,523.84 : 157,809.09 = 157,809.09 : x - Step 2: Convert to fraction form
71,523.84/157,809.09 = 157,809.09/x - Step 3: Cross multiply
71,523.84x = 157,809.09 × 157,809.09 - Step 4: Simplify right side
71,523.84x = 24,903,710,070.20 - Step 5: Solve for x
x = 24,903,710,070.20/71,523.84 - Step 6: Final answer
x = 348,187.52
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.