Finding the Third Proportional to 427,412,784 and 677,338,584
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Solution
The third proportional to 427,412,784 and 677,338,584 is: 1,073,406,258.66
Step by Step Solution
- Step 1: Write the proportion equation
427,412,784 : 677,338,584 = 677,338,584 : x - Step 2: Convert to fraction form
427,412,784/677,338,584 = 677,338,584/x - Step 3: Cross multiply
427,412,784x = 677,338,584 × 677,338,584 - Step 4: Simplify right side
427,412,784x = 458,787,557,375,125,056 - Step 5: Solve for x
x = 458,787,557,375,125,056/427,412,784 - Step 6: Final answer
x = 1,073,406,258.66
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.