Finding the Third Proportional to 66,412 and 142,664
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Solution
The third proportional to 66,412 and 142,664 is: 306,465.95
Step by Step Solution
- Step 1: Write the proportion equation
66,412 : 142,664 = 142,664 : x - Step 2: Convert to fraction form
66,412/142,664 = 142,664/x - Step 3: Cross multiply
66,412x = 142,664 × 142,664 - Step 4: Simplify right side
66,412x = 20,353,016,896 - Step 5: Solve for x
x = 20,353,016,896/66,412 - Step 6: Final answer
x = 306,465.95
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.