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Finding the Third Proportional to 136,922 and 296,308

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Solution

The third proportional to 136,922 and 296,308 is: 641,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,922 : 296,308 = 296,308 : x
  2. Step 2: Convert to fraction form
    136,922/296,308 = 296,308/x
  3. Step 3: Cross multiply
    136,922x = 296,308 × 296,308
  4. Step 4: Simplify right side
    136,922x = 87,798,430,864
  5. Step 5: Solve for x
    x = 87,798,430,864/136,922
  6. Step 6: Final answer
    x = 641,229.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.