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Finding the Third Proportional to 259,779 and 400,613

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Solution

The third proportional to 259,779 and 400,613 is: 617,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,779 : 400,613 = 400,613 : x
  2. Step 2: Convert to fraction form
    259,779/400,613 = 400,613/x
  3. Step 3: Cross multiply
    259,779x = 400,613 × 400,613
  4. Step 4: Simplify right side
    259,779x = 160,490,775,769
  5. Step 5: Solve for x
    x = 160,490,775,769/259,779
  6. Step 6: Final answer
    x = 617,797.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.