Finding the Third Proportional to 122,916.23 and 196,214.91
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Solution
The third proportional to 122,916.23 and 196,214.91 is: 313,223.80
Step by Step Solution
- Step 1: Write the proportion equation
122,916.23 : 196,214.91 = 196,214.91 : x - Step 2: Convert to fraction form
122,916.23/196,214.91 = 196,214.91/x - Step 3: Cross multiply
122,916.23x = 196,214.91 × 196,214.91 - Step 4: Simplify right side
122,916.23x = 38,500,289,434.70 - Step 5: Solve for x
x = 38,500,289,434.70/122,916.23 - Step 6: Final answer
x = 313,223.80
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.