Finding the Third Proportional to 312,925 and 470,846
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Solution
The third proportional to 312,925 and 470,846 is: 708,463.55
Step by Step Solution
- Step 1: Write the proportion equation
312,925 : 470,846 = 470,846 : x - Step 2: Convert to fraction form
312,925/470,846 = 470,846/x - Step 3: Cross multiply
312,925x = 470,846 × 470,846 - Step 4: Simplify right side
312,925x = 221,695,955,716 - Step 5: Solve for x
x = 221,695,955,716/312,925 - Step 6: Final answer
x = 708,463.55
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.