Finding the Third Proportional to 421,456 and 912,896
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Solution
The third proportional to 421,456 and 912,896 is: 1,977,381.05
Step by Step Solution
- Step 1: Write the proportion equation
421,456 : 912,896 = 912,896 : x - Step 2: Convert to fraction form
421,456/912,896 = 912,896/x - Step 3: Cross multiply
421,456x = 912,896 × 912,896 - Step 4: Simplify right side
421,456x = 833,379,106,816 - Step 5: Solve for x
x = 833,379,106,816/421,456 - Step 6: Final answer
x = 1,977,381.05
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.