Finding the Third Proportional to 421 and 1,030
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Solution
The third proportional to 421 and 1,030 is: 2,519.95
Step by Step Solution
- Step 1: Write the proportion equation
421 : 1,030 = 1,030 : x - Step 2: Convert to fraction form
421/1,030 = 1,030/x - Step 3: Cross multiply
421x = 1,030 × 1,030 - Step 4: Simplify right side
421x = 1,060,900 - Step 5: Solve for x
x = 1,060,900/421 - Step 6: Final answer
x = 2,519.95
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.