Finding the Third Proportional to 458,432 and 700,824
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Solution
The third proportional to 458,432 and 700,824 is: 1,071,378.70
Step by Step Solution
- Step 1: Write the proportion equation
458,432 : 700,824 = 700,824 : x - Step 2: Convert to fraction form
458,432/700,824 = 700,824/x - Step 3: Cross multiply
458,432x = 700,824 × 700,824 - Step 4: Simplify right side
458,432x = 491,154,278,976 - Step 5: Solve for x
x = 491,154,278,976/458,432 - Step 6: Final answer
x = 1,071,378.70
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.