Finding the Third Proportional to 303,963.75 and 470,706.75
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Solution
The third proportional to 303,963.75 and 470,706.75 is: 728,918.64
Step by Step Solution
- Step 1: Write the proportion equation
303,963.75 : 470,706.75 = 470,706.75 : x - Step 2: Convert to fraction form
303,963.75/470,706.75 = 470,706.75/x - Step 3: Cross multiply
303,963.75x = 470,706.75 × 470,706.75 - Step 4: Simplify right side
303,963.75x = 221,564,844,495.56 - Step 5: Solve for x
x = 221,564,844,495.56/303,963.75 - Step 6: Final answer
x = 728,918.64
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.