Finding the Third Proportional to 101,919 and 216,960
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Solution
The third proportional to 101,919 and 216,960 is: 461,853.45
Step by Step Solution
- Step 1: Write the proportion equation
101,919 : 216,960 = 216,960 : x - Step 2: Convert to fraction form
101,919/216,960 = 216,960/x - Step 3: Cross multiply
101,919x = 216,960 × 216,960 - Step 4: Simplify right side
101,919x = 47,071,641,600 - Step 5: Solve for x
x = 47,071,641,600/101,919 - Step 6: Final answer
x = 461,853.45
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.