Finding the Third Proportional to 91,776 and 123,840
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Solution
The third proportional to 91,776 and 123,840 is: 167,106.28
Step by Step Solution
- Step 1: Write the proportion equation
91,776 : 123,840 = 123,840 : x - Step 2: Convert to fraction form
91,776/123,840 = 123,840/x - Step 3: Cross multiply
91,776x = 123,840 × 123,840 - Step 4: Simplify right side
91,776x = 15,336,345,600 - Step 5: Solve for x
x = 15,336,345,600/91,776 - Step 6: Final answer
x = 167,106.28
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.