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Finding the Third Proportional to 461,756 and 690,775

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Solution

The third proportional to 461,756 and 690,775 is: 1,033,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,756 : 690,775 = 690,775 : x
  2. Step 2: Convert to fraction form
    461,756/690,775 = 690,775/x
  3. Step 3: Cross multiply
    461,756x = 690,775 × 690,775
  4. Step 4: Simplify right side
    461,756x = 477,170,100,625
  5. Step 5: Solve for x
    x = 477,170,100,625/461,756
  6. Step 6: Final answer
    x = 1,033,381.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.