Finding the Third Proportional to 65,169 and 142,796
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Solution
The third proportional to 65,169 and 142,796 is: 312,889.53
Step by Step Solution
- Step 1: Write the proportion equation
65,169 : 142,796 = 142,796 : x - Step 2: Convert to fraction form
65,169/142,796 = 142,796/x - Step 3: Cross multiply
65,169x = 142,796 × 142,796 - Step 4: Simplify right side
65,169x = 20,390,697,616 - Step 5: Solve for x
x = 20,390,697,616/65,169 - Step 6: Final answer
x = 312,889.53
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.