Finding the Third Proportional to 470 and 719.50
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Solution
The third proportional to 470 and 719.50 is: 1,101.45
Step by Step Solution
- Step 1: Write the proportion equation
470 : 719.50 = 719.50 : x - Step 2: Convert to fraction form
470/719.50 = 719.50/x - Step 3: Cross multiply
470x = 719.50 × 719.50 - Step 4: Simplify right side
470x = 517,680.25 - Step 5: Solve for x
x = 517,680.25/470 - Step 6: Final answer
x = 1,101.45
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.