Finding the Third Proportional to 209,776 and 314,600
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Solution
The third proportional to 209,776 and 314,600 is: 471,804.02
Step by Step Solution
- Step 1: Write the proportion equation
209,776 : 314,600 = 314,600 : x - Step 2: Convert to fraction form
209,776/314,600 = 314,600/x - Step 3: Cross multiply
209,776x = 314,600 × 314,600 - Step 4: Simplify right side
209,776x = 98,973,160,000 - Step 5: Solve for x
x = 98,973,160,000/209,776 - Step 6: Final answer
x = 471,804.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.