Finding the Third Proportional to 510,516 and 730,728
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Solution
The third proportional to 510,516 and 730,728 is: 1,045,928.84
Step by Step Solution
- Step 1: Write the proportion equation
510,516 : 730,728 = 730,728 : x - Step 2: Convert to fraction form
510,516/730,728 = 730,728/x - Step 3: Cross multiply
510,516x = 730,728 × 730,728 - Step 4: Simplify right side
510,516x = 533,963,409,984 - Step 5: Solve for x
x = 533,963,409,984/510,516 - Step 6: Final answer
x = 1,045,928.84
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.