Finding the Third Proportional to 29,970 and 65,772
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Solution
The third proportional to 29,970 and 65,772 is: 144,342.88
Step by Step Solution
- Step 1: Write the proportion equation
29,970 : 65,772 = 65,772 : x - Step 2: Convert to fraction form
29,970/65,772 = 65,772/x - Step 3: Cross multiply
29,970x = 65,772 × 65,772 - Step 4: Simplify right side
29,970x = 4,325,955,984 - Step 5: Solve for x
x = 4,325,955,984/29,970 - Step 6: Final answer
x = 144,342.88
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.