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Finding the Third Proportional to 136,667 and 293,402

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Solution

The third proportional to 136,667 and 293,402 is: 629,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,667 : 293,402 = 293,402 : x
  2. Step 2: Convert to fraction form
    136,667/293,402 = 293,402/x
  3. Step 3: Cross multiply
    136,667x = 293,402 × 293,402
  4. Step 4: Simplify right side
    136,667x = 86,084,733,604
  5. Step 5: Solve for x
    x = 86,084,733,604/136,667
  6. Step 6: Final answer
    x = 629,886.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.