Finding the Third Proportional to 42,778 and 103,056
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Solution
The third proportional to 42,778 and 103,056 is: 248,271.05
Step by Step Solution
- Step 1: Write the proportion equation
42,778 : 103,056 = 103,056 : x - Step 2: Convert to fraction form
42,778/103,056 = 103,056/x - Step 3: Cross multiply
42,778x = 103,056 × 103,056 - Step 4: Simplify right side
42,778x = 10,620,539,136 - Step 5: Solve for x
x = 10,620,539,136/42,778 - Step 6: Final answer
x = 248,271.05
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.