Finding the Third Proportional to 420,376.50 and 640,284.75
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Solution
The third proportional to 420,376.50 and 640,284.75 is: 975,231.87
Step by Step Solution
- Step 1: Write the proportion equation
420,376.50 : 640,284.75 = 640,284.75 : x - Step 2: Convert to fraction form
420,376.50/640,284.75 = 640,284.75/x - Step 3: Cross multiply
420,376.50x = 640,284.75 × 640,284.75 - Step 4: Simplify right side
420,376.50x = 409,964,561,082.56 - Step 5: Solve for x
x = 409,964,561,082.56/420,376.50 - Step 6: Final answer
x = 975,231.87
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.