Finding the Third Proportional to 278,526 and 424,317
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Solution
The third proportional to 278,526 and 424,317 is: 646,420.50
Step by Step Solution
- Step 1: Write the proportion equation
278,526 : 424,317 = 424,317 : x - Step 2: Convert to fraction form
278,526/424,317 = 424,317/x - Step 3: Cross multiply
278,526x = 424,317 × 424,317 - Step 4: Simplify right side
278,526x = 180,044,916,489 - Step 5: Solve for x
x = 180,044,916,489/278,526 - Step 6: Final answer
x = 646,420.50
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.