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Finding the Third Proportional to 135,579 and 258,856

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Solution

The third proportional to 135,579 and 258,856 is: 494,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,579 : 258,856 = 258,856 : x
  2. Step 2: Convert to fraction form
    135,579/258,856 = 258,856/x
  3. Step 3: Cross multiply
    135,579x = 258,856 × 258,856
  4. Step 4: Simplify right side
    135,579x = 67,006,428,736
  5. Step 5: Solve for x
    x = 67,006,428,736/135,579
  6. Step 6: Final answer
    x = 494,224.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.