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Finding the Third Proportional to 461,757 and 690,777

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Solution

The third proportional to 461,757 and 690,777 is: 1,033,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,757 : 690,777 = 690,777 : x
  2. Step 2: Convert to fraction form
    461,757/690,777 = 690,777/x
  3. Step 3: Cross multiply
    461,757x = 690,777 × 690,777
  4. Step 4: Simplify right side
    461,757x = 477,172,863,729
  5. Step 5: Solve for x
    x = 477,172,863,729/461,757
  6. Step 6: Final answer
    x = 1,033,385.23

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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.