Finding the Third Proportional to 570 and 775.50
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Solution
The third proportional to 570 and 775.50 is: 1,055.09
Step by Step Solution
- Step 1: Write the proportion equation
570 : 775.50 = 775.50 : x - Step 2: Convert to fraction form
570/775.50 = 775.50/x - Step 3: Cross multiply
570x = 775.50 × 775.50 - Step 4: Simplify right side
570x = 601,400.25 - Step 5: Solve for x
x = 601,400.25/570 - Step 6: Final answer
x = 1,055.09
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.