Finding the Third Proportional to 975 and 1,230
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Solution
The third proportional to 975 and 1,230 is: 1,551.69
Step by Step Solution
- Step 1: Write the proportion equation
975 : 1,230 = 1,230 : x - Step 2: Convert to fraction form
975/1,230 = 1,230/x - Step 3: Cross multiply
975x = 1,230 × 1,230 - Step 4: Simplify right side
975x = 1,512,900 - Step 5: Solve for x
x = 1,512,900/975 - Step 6: Final answer
x = 1,551.69
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.