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Finding the Third Proportional to 138,793 and 207,810

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Solution

The third proportional to 138,793 and 207,810 is: 311,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,793 : 207,810 = 207,810 : x
  2. Step 2: Convert to fraction form
    138,793/207,810 = 207,810/x
  3. Step 3: Cross multiply
    138,793x = 207,810 × 207,810
  4. Step 4: Simplify right side
    138,793x = 43,184,996,100
  5. Step 5: Solve for x
    x = 43,184,996,100/138,793
  6. Step 6: Final answer
    x = 311,146.79

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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.