Finding the Third Proportional to 1,178 and 2,572
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Solution
The third proportional to 1,178 and 2,572 is: 5,615.61
Step by Step Solution
- Step 1: Write the proportion equation
1,178 : 2,572 = 2,572 : x - Step 2: Convert to fraction form
1,178/2,572 = 2,572/x - Step 3: Cross multiply
1,178x = 2,572 × 2,572 - Step 4: Simplify right side
1,178x = 6,615,184 - Step 5: Solve for x
x = 6,615,184/1,178 - Step 6: Final answer
x = 5,615.61
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.