Finding the Third Proportional to 8,700 and 12,294
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Solution
The third proportional to 8,700 and 12,294 is: 17,372.69
Step by Step Solution
- Step 1: Write the proportion equation
8,700 : 12,294 = 12,294 : x - Step 2: Convert to fraction form
8,700/12,294 = 12,294/x - Step 3: Cross multiply
8,700x = 12,294 × 12,294 - Step 4: Simplify right side
8,700x = 151,142,436 - Step 5: Solve for x
x = 151,142,436/8,700 - Step 6: Final answer
x = 17,372.69
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.