Finding the Third Proportional to 38,400.50 and 78,714
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Solution
The third proportional to 38,400.50 and 78,714 is: 161,349.30
Step by Step Solution
- Step 1: Write the proportion equation
38,400.50 : 78,714 = 78,714 : x - Step 2: Convert to fraction form
38,400.50/78,714 = 78,714/x - Step 3: Cross multiply
38,400.50x = 78,714 × 78,714 - Step 4: Simplify right side
38,400.50x = 6,195,893,796 - Step 5: Solve for x
x = 6,195,893,796/38,400.50 - Step 6: Final answer
x = 161,349.30
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.