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Finding the Third Proportional to 138,230 and 207,873

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Solution

The third proportional to 138,230 and 207,873 is: 312,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,230 : 207,873 = 207,873 : x
  2. Step 2: Convert to fraction form
    138,230/207,873 = 207,873/x
  3. Step 3: Cross multiply
    138,230x = 207,873 × 207,873
  4. Step 4: Simplify right side
    138,230x = 43,211,184,129
  5. Step 5: Solve for x
    x = 43,211,184,129/138,230
  6. Step 6: Final answer
    x = 312,603.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.