Finding the Third Proportional to 106,420.50 and 159,647.63
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Solution
The third proportional to 106,420.50 and 159,647.63 is: 239,496.75
Step by Step Solution
- Step 1: Write the proportion equation
106,420.50 : 159,647.63 = 159,647.63 : x - Step 2: Convert to fraction form
106,420.50/159,647.63 = 159,647.63/x - Step 3: Cross multiply
106,420.50x = 159,647.63 × 159,647.63 - Step 4: Simplify right side
106,420.50x = 25,487,364,168.14 - Step 5: Solve for x
x = 25,487,364,168.14/106,420.50 - Step 6: Final answer
x = 239,496.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.