Finding the Third Proportional to 829,700 and 1,820,104
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Solution
The third proportional to 829,700 and 1,820,104 is: 3,992,742.64
Step by Step Solution
- Step 1: Write the proportion equation
829,700 : 1,820,104 = 1,820,104 : x - Step 2: Convert to fraction form
829,700/1,820,104 = 1,820,104/x - Step 3: Cross multiply
829,700x = 1,820,104 × 1,820,104 - Step 4: Simplify right side
829,700x = 3,312,778,570,816 - Step 5: Solve for x
x = 3,312,778,570,816/829,700 - Step 6: Final answer
x = 3,992,742.64
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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.