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Finding the Third Proportional to 274,984.50 and 396,712.50

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Solution

The third proportional to 274,984.50 and 396,712.50 is: 572,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,984.50 : 396,712.50 = 396,712.50 : x
  2. Step 2: Convert to fraction form
    274,984.50/396,712.50 = 396,712.50/x
  3. Step 3: Cross multiply
    274,984.50x = 396,712.50 × 396,712.50
  4. Step 4: Simplify right side
    274,984.50x = 157,380,807,656.25
  5. Step 5: Solve for x
    x = 157,380,807,656.25/274,984.50
  6. Step 6: Final answer
    x = 572,326.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.