Finding the Third Proportional to 221,968 and 489,178
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Solution
The third proportional to 221,968 and 489,178 is: 1,078,061.32
Step by Step Solution
- Step 1: Write the proportion equation
221,968 : 489,178 = 489,178 : x - Step 2: Convert to fraction form
221,968/489,178 = 489,178/x - Step 3: Cross multiply
221,968x = 489,178 × 489,178 - Step 4: Simplify right side
221,968x = 239,295,115,684 - Step 5: Solve for x
x = 239,295,115,684/221,968 - Step 6: Final answer
x = 1,078,061.32
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.