Finding the Third Proportional to 145,257,512.63 and 311,237,916.19
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Solution
The third proportional to 145,257,512.63 and 311,237,916.19 is: 666,878,006.67
Step by Step Solution
- Step 1: Write the proportion equation
145,257,512.63 : 311,237,916.19 = 311,237,916.19 : x - Step 2: Convert to fraction form
145,257,512.63/311,237,916.19 = 311,237,916.19/x - Step 3: Cross multiply
145,257,512.63x = 311,237,916.19 × 311,237,916.19 - Step 4: Simplify right side
145,257,512.63x = 96,869,040,472,737,280 - Step 5: Solve for x
x = 96,869,040,472,737,280/145,257,512.63 - Step 6: Final answer
x = 666,878,006.67
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.