Finding the Third Proportional to 430 and 1,158
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Solution
The third proportional to 430 and 1,158 is: 3,118.52
Step by Step Solution
- Step 1: Write the proportion equation
430 : 1,158 = 1,158 : x - Step 2: Convert to fraction form
430/1,158 = 1,158/x - Step 3: Cross multiply
430x = 1,158 × 1,158 - Step 4: Simplify right side
430x = 1,340,964 - Step 5: Solve for x
x = 1,340,964/430 - Step 6: Final answer
x = 3,118.52
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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.