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Finding the Third Proportional to 135,940 and 207,489

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Solution

The third proportional to 135,940 and 207,489 is: 316,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,940 : 207,489 = 207,489 : x
  2. Step 2: Convert to fraction form
    135,940/207,489 = 207,489/x
  3. Step 3: Cross multiply
    135,940x = 207,489 × 207,489
  4. Step 4: Simplify right side
    135,940x = 43,051,685,121
  5. Step 5: Solve for x
    x = 43,051,685,121/135,940
  6. Step 6: Final answer
    x = 316,696.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.