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Finding the Third Proportional to 251,325 and 330,331.50

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Solution

The third proportional to 251,325 and 330,331.50 is: 434,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,325 : 330,331.50 = 330,331.50 : x
  2. Step 2: Convert to fraction form
    251,325/330,331.50 = 330,331.50/x
  3. Step 3: Cross multiply
    251,325x = 330,331.50 × 330,331.50
  4. Step 4: Simplify right side
    251,325x = 109,118,899,892.25
  5. Step 5: Solve for x
    x = 109,118,899,892.25/251,325
  6. Step 6: Final answer
    x = 434,174.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.