Finding the Third Proportional to 472,378,454 and 664,923,085
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Solution
The third proportional to 472,378,454 and 664,923,085 is: 935,950,200.99
Step by Step Solution
- Step 1: Write the proportion equation
472,378,454 : 664,923,085 = 664,923,085 : x - Step 2: Convert to fraction form
472,378,454/664,923,085 = 664,923,085/x - Step 3: Cross multiply
472,378,454x = 664,923,085 × 664,923,085 - Step 4: Simplify right side
472,378,454x = 442,122,708,965,917,248 - Step 5: Solve for x
x = 442,122,708,965,917,248/472,378,454 - Step 6: Final answer
x = 935,950,200.99
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.