Finding the Third Proportional to 470 and 772.50
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Solution
The third proportional to 470 and 772.50 is: 1,269.69
Step by Step Solution
- Step 1: Write the proportion equation
470 : 772.50 = 772.50 : x - Step 2: Convert to fraction form
470/772.50 = 772.50/x - Step 3: Cross multiply
470x = 772.50 × 772.50 - Step 4: Simplify right side
470x = 596,756.25 - Step 5: Solve for x
x = 596,756.25/470 - Step 6: Final answer
x = 1,269.69
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Why These Related Problems?
These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.