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Finding the Third Proportional to 126,398 and 190,399

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Solution

The third proportional to 126,398 and 190,399 is: 286,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,398 : 190,399 = 190,399 : x
  2. Step 2: Convert to fraction form
    126,398/190,399 = 190,399/x
  3. Step 3: Cross multiply
    126,398x = 190,399 × 190,399
  4. Step 4: Simplify right side
    126,398x = 36,251,779,201
  5. Step 5: Solve for x
    x = 36,251,779,201/126,398
  6. Step 6: Final answer
    x = 286,806.59

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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.