Finding the Third Proportional to 657.50 and 1,405
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Solution
The third proportional to 657.50 and 1,405 is: 3,002.32
Step by Step Solution
- Step 1: Write the proportion equation
657.50 : 1,405 = 1,405 : x - Step 2: Convert to fraction form
657.50/1,405 = 1,405/x - Step 3: Cross multiply
657.50x = 1,405 × 1,405 - Step 4: Simplify right side
657.50x = 1,974,025 - Step 5: Solve for x
x = 1,974,025/657.50 - Step 6: Final answer
x = 3,002.32
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.