Finding the Third Proportional to 286,280 and 420,668
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Solution
The third proportional to 286,280 and 420,668 is: 618,141.56
Step by Step Solution
- Step 1: Write the proportion equation
286,280 : 420,668 = 420,668 : x - Step 2: Convert to fraction form
286,280/420,668 = 420,668/x - Step 3: Cross multiply
286,280x = 420,668 × 420,668 - Step 4: Simplify right side
286,280x = 176,961,566,224 - Step 5: Solve for x
x = 176,961,566,224/286,280 - Step 6: Final answer
x = 618,141.56
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.