Finding the Third Proportional to 156,115,988,875 and 210,637,125,105
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Solution
The third proportional to 156,115,988,875 and 210,637,125,105 is: 284,198,939,469.45
Step by Step Solution
- Step 1: Write the proportion equation
156,115,988,875 : 210,637,125,105 = 210,637,125,105 : x - Step 2: Convert to fraction form
156,115,988,875/210,637,125,105 = 210,637,125,105/x - Step 3: Cross multiply
156,115,988,875x = 210,637,125,105 × 210,637,125,105 - Step 4: Simplify right side
156,115,988,875x = 44,367,998,472,499,423,608,832 - Step 5: Solve for x
x = 44,367,998,472,499,423,608,832/156,115,988,875 - Step 6: Final answer
x = 284,198,939,469.45
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.