Finding the Third Proportional to 46,980 and 72,792
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Solution
The third proportional to 46,980 and 72,792 is: 112,785.77
Step by Step Solution
- Step 1: Write the proportion equation
46,980 : 72,792 = 72,792 : x - Step 2: Convert to fraction form
46,980/72,792 = 72,792/x - Step 3: Cross multiply
46,980x = 72,792 × 72,792 - Step 4: Simplify right side
46,980x = 5,298,675,264 - Step 5: Solve for x
x = 5,298,675,264/46,980 - Step 6: Final answer
x = 112,785.77
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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.