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Finding the Third Proportional to 126,400 and 190,402

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Solution

The third proportional to 126,400 and 190,402 is: 286,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,400 : 190,402 = 190,402 : x
  2. Step 2: Convert to fraction form
    126,400/190,402 = 190,402/x
  3. Step 3: Cross multiply
    126,400x = 190,402 × 190,402
  4. Step 4: Simplify right side
    126,400x = 36,252,921,604
  5. Step 5: Solve for x
    x = 36,252,921,604/126,400
  6. Step 6: Final answer
    x = 286,811.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.