Finding the Third Proportional to 697 and 1,030
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Solution
The third proportional to 697 and 1,030 is: 1,522.09
Step by Step Solution
- Step 1: Write the proportion equation
697 : 1,030 = 1,030 : x - Step 2: Convert to fraction form
697/1,030 = 1,030/x - Step 3: Cross multiply
697x = 1,030 × 1,030 - Step 4: Simplify right side
697x = 1,060,900 - Step 5: Solve for x
x = 1,060,900/697 - Step 6: Final answer
x = 1,522.09
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.