Finding the Third Proportional to 403,776 and 849,354
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Solution
The third proportional to 403,776 and 849,354 is: 1,786,639.66
Step by Step Solution
- Step 1: Write the proportion equation
403,776 : 849,354 = 849,354 : x - Step 2: Convert to fraction form
403,776/849,354 = 849,354/x - Step 3: Cross multiply
403,776x = 849,354 × 849,354 - Step 4: Simplify right side
403,776x = 721,402,217,316 - Step 5: Solve for x
x = 721,402,217,316/403,776 - Step 6: Final answer
x = 1,786,639.66
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.