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Finding the Third Proportional to 461,758 and 690,779

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Solution

The third proportional to 461,758 and 690,779 is: 1,033,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,758 : 690,779 = 690,779 : x
  2. Step 2: Convert to fraction form
    461,758/690,779 = 690,779/x
  3. Step 3: Cross multiply
    461,758x = 690,779 × 690,779
  4. Step 4: Simplify right side
    461,758x = 477,175,626,841
  5. Step 5: Solve for x
    x = 477,175,626,841/461,758
  6. Step 6: Final answer
    x = 1,033,388.98

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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.