Finding the Third Proportional to 205,428 and 441,080
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Solution
The third proportional to 205,428 and 441,080 is: 947,054.77
Step by Step Solution
- Step 1: Write the proportion equation
205,428 : 441,080 = 441,080 : x - Step 2: Convert to fraction form
205,428/441,080 = 441,080/x - Step 3: Cross multiply
205,428x = 441,080 × 441,080 - Step 4: Simplify right side
205,428x = 194,551,566,400 - Step 5: Solve for x
x = 194,551,566,400/205,428 - Step 6: Final answer
x = 947,054.77
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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.