Finding the Third Proportional to 414,217,115 and 643,151,037
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Solution
The third proportional to 414,217,115 and 643,151,037 is: 998,614,594.65
Step by Step Solution
- Step 1: Write the proportion equation
414,217,115 : 643,151,037 = 643,151,037 : x - Step 2: Convert to fraction form
414,217,115/643,151,037 = 643,151,037/x - Step 3: Cross multiply
414,217,115x = 643,151,037 × 643,151,037 - Step 4: Simplify right side
414,217,115x = 413,643,256,394,175,360 - Step 5: Solve for x
x = 413,643,256,394,175,360/414,217,115 - Step 6: Final answer
x = 998,614,594.65
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.