Finding the Third Proportional to 312,178.50 and 470,454.75
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Solution
The third proportional to 312,178.50 and 470,454.75 is: 708,977.95
Step by Step Solution
- Step 1: Write the proportion equation
312,178.50 : 470,454.75 = 470,454.75 : x - Step 2: Convert to fraction form
312,178.50/470,454.75 = 470,454.75/x - Step 3: Cross multiply
312,178.50x = 470,454.75 × 470,454.75 - Step 4: Simplify right side
312,178.50x = 221,327,671,797.56 - Step 5: Solve for x
x = 221,327,671,797.56/312,178.50 - Step 6: Final answer
x = 708,977.95
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.