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Finding the Third Proportional to 311,874 and 482,715

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Solution

The third proportional to 311,874 and 482,715 is: 747,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874 : 482,715 = 482,715 : x
  2. Step 2: Convert to fraction form
    311,874/482,715 = 482,715/x
  3. Step 3: Cross multiply
    311,874x = 482,715 × 482,715
  4. Step 4: Simplify right side
    311,874x = 233,013,771,225
  5. Step 5: Solve for x
    x = 233,013,771,225/311,874
  6. Step 6: Final answer
    x = 747,140.74

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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.