Finding the Third Proportional to 8,470 and 13,090
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Solution
The third proportional to 8,470 and 13,090 is: 20,230
Step by Step Solution
- Step 1: Write the proportion equation
8,470 : 13,090 = 13,090 : x - Step 2: Convert to fraction form
8,470/13,090 = 13,090/x - Step 3: Cross multiply
8,470x = 13,090 × 13,090 - Step 4: Simplify right side
8,470x = 171,348,100 - Step 5: Solve for x
x = 171,348,100/8,470 - Step 6: Final answer
x = 20,230
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.