Finding the Third Proportional to 457,969 and 978,962
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Solution
The third proportional to 457,969 and 978,962 is: 2,092,645.13
Step by Step Solution
- Step 1: Write the proportion equation
457,969 : 978,962 = 978,962 : x - Step 2: Convert to fraction form
457,969/978,962 = 978,962/x - Step 3: Cross multiply
457,969x = 978,962 × 978,962 - Step 4: Simplify right side
457,969x = 958,366,597,444 - Step 5: Solve for x
x = 958,366,597,444/457,969 - Step 6: Final answer
x = 2,092,645.13
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.