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Finding the Third Proportional to 61,981.50 and 135,837

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Solution

The third proportional to 61,981.50 and 135,837 is: 297,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,981.50 : 135,837 = 135,837 : x
  2. Step 2: Convert to fraction form
    61,981.50/135,837 = 135,837/x
  3. Step 3: Cross multiply
    61,981.50x = 135,837 × 135,837
  4. Step 4: Simplify right side
    61,981.50x = 18,451,690,569
  5. Step 5: Solve for x
    x = 18,451,690,569/61,981.50
  6. Step 6: Final answer
    x = 297,696.74

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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.