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Finding the Third Proportional to 136,021 and 294,638

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Solution

The third proportional to 136,021 and 294,638 is: 638,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,021 : 294,638 = 294,638 : x
  2. Step 2: Convert to fraction form
    136,021/294,638 = 294,638/x
  3. Step 3: Cross multiply
    136,021x = 294,638 × 294,638
  4. Step 4: Simplify right side
    136,021x = 86,811,551,044
  5. Step 5: Solve for x
    x = 86,811,551,044/136,021
  6. Step 6: Final answer
    x = 638,221.68

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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.