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Finding the Third Proportional to 135,669 and 294,690

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Solution

The third proportional to 135,669 and 294,690 is: 640,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,669 : 294,690 = 294,690 : x
  2. Step 2: Convert to fraction form
    135,669/294,690 = 294,690/x
  3. Step 3: Cross multiply
    135,669x = 294,690 × 294,690
  4. Step 4: Simplify right side
    135,669x = 86,842,196,100
  5. Step 5: Solve for x
    x = 86,842,196,100/135,669
  6. Step 6: Final answer
    x = 640,103.46

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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.