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Finding the Third Proportional to 119,420 and 251,800

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Solution

The third proportional to 119,420 and 251,800 is: 530,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,420 : 251,800 = 251,800 : x
  2. Step 2: Convert to fraction form
    119,420/251,800 = 251,800/x
  3. Step 3: Cross multiply
    119,420x = 251,800 × 251,800
  4. Step 4: Simplify right side
    119,420x = 63,403,240,000
  5. Step 5: Solve for x
    x = 63,403,240,000/119,420
  6. Step 6: Final answer
    x = 530,926.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.