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Finding the Third Proportional to 259,912 and 391,788

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Solution

The third proportional to 259,912 and 391,788 is: 590,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,912 : 391,788 = 391,788 : x
  2. Step 2: Convert to fraction form
    259,912/391,788 = 391,788/x
  3. Step 3: Cross multiply
    259,912x = 391,788 × 391,788
  4. Step 4: Simplify right side
    259,912x = 153,497,836,944
  5. Step 5: Solve for x
    x = 153,497,836,944/259,912
  6. Step 6: Final answer
    x = 590,576.18

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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.