Finding the Third Proportional to 13,740 and 29,670
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Solution
The third proportional to 13,740 and 29,670 is: 64,069.06
Step by Step Solution
- Step 1: Write the proportion equation
13,740 : 29,670 = 29,670 : x - Step 2: Convert to fraction form
13,740/29,670 = 29,670/x - Step 3: Cross multiply
13,740x = 29,670 × 29,670 - Step 4: Simplify right side
13,740x = 880,308,900 - Step 5: Solve for x
x = 880,308,900/13,740 - Step 6: Final answer
x = 64,069.06
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.