Finding the Third Proportional to 432 and 1,155
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Solution
The third proportional to 432 and 1,155 is: 3,088.02
Step by Step Solution
- Step 1: Write the proportion equation
432 : 1,155 = 1,155 : x - Step 2: Convert to fraction form
432/1,155 = 1,155/x - Step 3: Cross multiply
432x = 1,155 × 1,155 - Step 4: Simplify right side
432x = 1,334,025 - Step 5: Solve for x
x = 1,334,025/432 - Step 6: Final answer
x = 3,088.02
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These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.