Finding the Third Proportional to 210,865,737,418 and 321,232,163,947
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Solution
The third proportional to 210,865,737,418 and 321,232,163,947 is: 489,364,011,515.62
Step by Step Solution
- Step 1: Write the proportion equation
210,865,737,418 : 321,232,163,947 = 321,232,163,947 : x - Step 2: Convert to fraction form
210,865,737,418/321,232,163,947 = 321,232,163,947/x - Step 3: Cross multiply
210,865,737,418x = 321,232,163,947 × 321,232,163,947 - Step 4: Simplify right side
210,865,737,418x = 103,190,103,154,072,280,367,104 - Step 5: Solve for x
x = 103,190,103,154,072,280,367,104/210,865,737,418 - Step 6: Final answer
x = 489,364,011,515.62
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.