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Finding the Third Proportional to 61,919 and 135,705

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Solution

The third proportional to 61,919 and 135,705 is: 297,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,919 : 135,705 = 135,705 : x
  2. Step 2: Convert to fraction form
    61,919/135,705 = 135,705/x
  3. Step 3: Cross multiply
    61,919x = 135,705 × 135,705
  4. Step 4: Simplify right side
    61,919x = 18,415,847,025
  5. Step 5: Solve for x
    x = 18,415,847,025/61,919
  6. Step 6: Final answer
    x = 297,418.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.