Finding the Third Proportional to 10,800 and 14,580
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Solution
The third proportional to 10,800 and 14,580 is: 19,683
Step by Step Solution
- Step 1: Write the proportion equation
10,800 : 14,580 = 14,580 : x - Step 2: Convert to fraction form
10,800/14,580 = 14,580/x - Step 3: Cross multiply
10,800x = 14,580 × 14,580 - Step 4: Simplify right side
10,800x = 212,576,400 - Step 5: Solve for x
x = 212,576,400/10,800 - Step 6: Final answer
x = 19,683
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.