Finding the Third Proportional to 31,987 and 74,727
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Solution
The third proportional to 31,987 and 74,727 is: 174,574.81
Step by Step Solution
- Step 1: Write the proportion equation
31,987 : 74,727 = 74,727 : x - Step 2: Convert to fraction form
31,987/74,727 = 74,727/x - Step 3: Cross multiply
31,987x = 74,727 × 74,727 - Step 4: Simplify right side
31,987x = 5,584,124,529 - Step 5: Solve for x
x = 5,584,124,529/31,987 - Step 6: Final answer
x = 174,574.81
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.