Finding the Third Proportional to 490,356 and 749,796
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Solution
The third proportional to 490,356 and 749,796 is: 1,146,501.81
Step by Step Solution
- Step 1: Write the proportion equation
490,356 : 749,796 = 749,796 : x - Step 2: Convert to fraction form
490,356/749,796 = 749,796/x - Step 3: Cross multiply
490,356x = 749,796 × 749,796 - Step 4: Simplify right side
490,356x = 562,194,041,616 - Step 5: Solve for x
x = 562,194,041,616/490,356 - Step 6: Final answer
x = 1,146,501.81
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.