Finding the Third Proportional to 830,746 and 1,787,851
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Solution
The third proportional to 830,746 and 1,787,851 is: 3,847,639.59
Step by Step Solution
- Step 1: Write the proportion equation
830,746 : 1,787,851 = 1,787,851 : x - Step 2: Convert to fraction form
830,746/1,787,851 = 1,787,851/x - Step 3: Cross multiply
830,746x = 1,787,851 × 1,787,851 - Step 4: Simplify right side
830,746x = 3,196,411,198,201 - Step 5: Solve for x
x = 3,196,411,198,201/830,746 - Step 6: Final answer
x = 3,847,639.59
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.