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Finding the Third Proportional to 272,254.50 and 396,670.50

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Solution

The third proportional to 272,254.50 and 396,670.50 is: 577,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,254.50 : 396,670.50 = 396,670.50 : x
  2. Step 2: Convert to fraction form
    272,254.50/396,670.50 = 396,670.50/x
  3. Step 3: Cross multiply
    272,254.50x = 396,670.50 × 396,670.50
  4. Step 4: Simplify right side
    272,254.50x = 157,347,485,570.25
  5. Step 5: Solve for x
    x = 157,347,485,570.25/272,254.50
  6. Step 6: Final answer
    x = 577,942.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.