Finding the Third Proportional to 1,305.19 and 2,938.97
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Solution
The third proportional to 1,305.19 and 2,938.97 is: 6,617.85
Step by Step Solution
- Step 1: Write the proportion equation
1,305.19 : 2,938.97 = 2,938.97 : x - Step 2: Convert to fraction form
1,305.19/2,938.97 = 2,938.97/x - Step 3: Cross multiply
1,305.19x = 2,938.97 × 2,938.97 - Step 4: Simplify right side
1,305.19x = 8,637,537.31 - Step 5: Solve for x
x = 8,637,537.31/1,305.19 - Step 6: Final answer
x = 6,617.85
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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.