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Finding the Third Proportional to 311,062 and 482,577

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Solution

The third proportional to 311,062 and 482,577 is: 748,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,062 : 482,577 = 482,577 : x
  2. Step 2: Convert to fraction form
    311,062/482,577 = 482,577/x
  3. Step 3: Cross multiply
    311,062x = 482,577 × 482,577
  4. Step 4: Simplify right side
    311,062x = 232,880,560,929
  5. Step 5: Solve for x
    x = 232,880,560,929/311,062
  6. Step 6: Final answer
    x = 748,662.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.