Finding the Third Proportional to 77,278.50 and 110,301.75
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Solution
The third proportional to 77,278.50 and 110,301.75 is: 157,436.75
Step by Step Solution
- Step 1: Write the proportion equation
77,278.50 : 110,301.75 = 110,301.75 : x - Step 2: Convert to fraction form
77,278.50/110,301.75 = 110,301.75/x - Step 3: Cross multiply
77,278.50x = 110,301.75 × 110,301.75 - Step 4: Simplify right side
77,278.50x = 12,166,476,053.06 - Step 5: Solve for x
x = 12,166,476,053.06/77,278.50 - Step 6: Final answer
x = 157,436.75
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.