Finding the Third Proportional to 156,115,981,324 and 210,637,113,987
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Solution
The third proportional to 156,115,981,324 and 210,637,113,987 is: 284,198,923,213.97
Step by Step Solution
- Step 1: Write the proportion equation
156,115,981,324 : 210,637,113,987 = 210,637,113,987 : x - Step 2: Convert to fraction form
156,115,981,324/210,637,113,987 = 210,637,113,987/x - Step 3: Cross multiply
156,115,981,324x = 210,637,113,987 × 210,637,113,987 - Step 4: Simplify right side
156,115,981,324x = 44,367,993,788,772,433,002,496 - Step 5: Solve for x
x = 44,367,993,788,772,433,002,496/156,115,981,324 - Step 6: Final answer
x = 284,198,923,213.97
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.