Finding the Third Proportional to 200,292,102 and 427,040,343
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Solution
The third proportional to 200,292,102 and 427,040,343 is: 910,487,496.65
Step by Step Solution
- Step 1: Write the proportion equation
200,292,102 : 427,040,343 = 427,040,343 : x - Step 2: Convert to fraction form
200,292,102/427,040,343 = 427,040,343/x - Step 3: Cross multiply
200,292,102x = 427,040,343 × 427,040,343 - Step 4: Simplify right side
200,292,102x = 182,363,454,549,557,664 - Step 5: Solve for x
x = 182,363,454,549,557,664/200,292,102 - Step 6: Final answer
x = 910,487,496.65
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.