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Finding the Third Proportional to 420,779 and 591,856

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Solution

The third proportional to 420,779 and 591,856 is: 832,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,779 : 591,856 = 591,856 : x
  2. Step 2: Convert to fraction form
    420,779/591,856 = 591,856/x
  3. Step 3: Cross multiply
    420,779x = 591,856 × 591,856
  4. Step 4: Simplify right side
    420,779x = 350,293,524,736
  5. Step 5: Solve for x
    x = 350,293,524,736/420,779
  6. Step 6: Final answer
    x = 832,488.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.