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Finding the Third Proportional to 136,459 and 296,228

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Solution

The third proportional to 136,459 and 296,228 is: 643,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,459 : 296,228 = 296,228 : x
  2. Step 2: Convert to fraction form
    136,459/296,228 = 296,228/x
  3. Step 3: Cross multiply
    136,459x = 296,228 × 296,228
  4. Step 4: Simplify right side
    136,459x = 87,751,027,984
  5. Step 5: Solve for x
    x = 87,751,027,984/136,459
  6. Step 6: Final answer
    x = 643,057.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.