Finding the Third Proportional to 421,470 and 912,924
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Solution
The third proportional to 421,470 and 912,924 is: 1,977,436.66
Step by Step Solution
- Step 1: Write the proportion equation
421,470 : 912,924 = 912,924 : x - Step 2: Convert to fraction form
421,470/912,924 = 912,924/x - Step 3: Cross multiply
421,470x = 912,924 × 912,924 - Step 4: Simplify right side
421,470x = 833,430,229,776 - Step 5: Solve for x
x = 833,430,229,776/421,470 - Step 6: Final answer
x = 1,977,436.66
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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.