Finding the Third Proportional to 31,016 and 67,828
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Solution
The third proportional to 31,016 and 67,828 is: 148,331.11
Step by Step Solution
- Step 1: Write the proportion equation
31,016 : 67,828 = 67,828 : x - Step 2: Convert to fraction form
31,016/67,828 = 67,828/x - Step 3: Cross multiply
31,016x = 67,828 × 67,828 - Step 4: Simplify right side
31,016x = 4,600,637,584 - Step 5: Solve for x
x = 4,600,637,584/31,016 - Step 6: Final answer
x = 148,331.11
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.