Finding the Third Proportional to 98,064 and 138,648
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Solution
The third proportional to 98,064 and 138,648 is: 196,027.78
Step by Step Solution
- Step 1: Write the proportion equation
98,064 : 138,648 = 138,648 : x - Step 2: Convert to fraction form
98,064/138,648 = 138,648/x - Step 3: Cross multiply
98,064x = 138,648 × 138,648 - Step 4: Simplify right side
98,064x = 19,223,267,904 - Step 5: Solve for x
x = 19,223,267,904/98,064 - Step 6: Final answer
x = 196,027.78
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.