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Finding the Third Proportional to 311,170 and 482,755

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Solution

The third proportional to 311,170 and 482,755 is: 748,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,170 : 482,755 = 482,755 : x
  2. Step 2: Convert to fraction form
    311,170/482,755 = 482,755/x
  3. Step 3: Cross multiply
    311,170x = 482,755 × 482,755
  4. Step 4: Simplify right side
    311,170x = 233,052,390,025
  5. Step 5: Solve for x
    x = 233,052,390,025/311,170
  6. Step 6: Final answer
    x = 748,955.20

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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.