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Finding the Third Proportional to 279,777.50 and 422,004.25

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Solution

The third proportional to 279,777.50 and 422,004.25 is: 636,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,777.50 : 422,004.25 = 422,004.25 : x
  2. Step 2: Convert to fraction form
    279,777.50/422,004.25 = 422,004.25/x
  3. Step 3: Cross multiply
    279,777.50x = 422,004.25 × 422,004.25
  4. Step 4: Simplify right side
    279,777.50x = 178,087,587,018.06
  5. Step 5: Solve for x
    x = 178,087,587,018.06/279,777.50
  6. Step 6: Final answer
    x = 636,532.91

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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.