Finding the Third Proportional to 141,823.50 and 209,931.75
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Solution
The third proportional to 141,823.50 and 209,931.75 is: 310,747.79
Step by Step Solution
- Step 1: Write the proportion equation
141,823.50 : 209,931.75 = 209,931.75 : x - Step 2: Convert to fraction form
141,823.50/209,931.75 = 209,931.75/x - Step 3: Cross multiply
141,823.50x = 209,931.75 × 209,931.75 - Step 4: Simplify right side
141,823.50x = 44,071,339,658.06 - Step 5: Solve for x
x = 44,071,339,658.06/141,823.50 - Step 6: Final answer
x = 310,747.79
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.