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Finding the Third Proportional to 126,489 and 190,564.50

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Solution

The third proportional to 126,489 and 190,564.50 is: 287,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,489 : 190,564.50 = 190,564.50 : x
  2. Step 2: Convert to fraction form
    126,489/190,564.50 = 190,564.50/x
  3. Step 3: Cross multiply
    126,489x = 190,564.50 × 190,564.50
  4. Step 4: Simplify right side
    126,489x = 36,314,828,660.25
  5. Step 5: Solve for x
    x = 36,314,828,660.25/126,489
  6. Step 6: Final answer
    x = 287,098.71

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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.