Finding the Third Proportional to 409,582.13 and 641,103.75
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Solution
The third proportional to 409,582.13 and 641,103.75 is: 1,003,495.99
Step by Step Solution
- Step 1: Write the proportion equation
409,582.13 : 641,103.75 = 641,103.75 : x - Step 2: Convert to fraction form
409,582.13/641,103.75 = 641,103.75/x - Step 3: Cross multiply
409,582.13x = 641,103.75 × 641,103.75 - Step 4: Simplify right side
409,582.13x = 411,014,018,264.06 - Step 5: Solve for x
x = 411,014,018,264.06/409,582.13 - Step 6: Final answer
x = 1,003,495.99
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.