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Finding the Third Proportional to 259,906 and 391,779

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Solution

The third proportional to 259,906 and 391,779 is: 590,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,906 : 391,779 = 391,779 : x
  2. Step 2: Convert to fraction form
    259,906/391,779 = 391,779/x
  3. Step 3: Cross multiply
    259,906x = 391,779 × 391,779
  4. Step 4: Simplify right side
    259,906x = 153,490,784,841
  5. Step 5: Solve for x
    x = 153,490,784,841/259,906
  6. Step 6: Final answer
    x = 590,562.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.