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Finding the Third Proportional to 128,212 and 296,821

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Solution

The third proportional to 128,212 and 296,821 is: 687,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,212 : 296,821 = 296,821 : x
  2. Step 2: Convert to fraction form
    128,212/296,821 = 296,821/x
  3. Step 3: Cross multiply
    128,212x = 296,821 × 296,821
  4. Step 4: Simplify right side
    128,212x = 88,102,706,041
  5. Step 5: Solve for x
    x = 88,102,706,041/128,212
  6. Step 6: Final answer
    x = 687,164.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.