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Finding the Third Proportional to 138,155 and 207,745

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Solution

The third proportional to 138,155 and 207,745 is: 312,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,155 : 207,745 = 207,745 : x
  2. Step 2: Convert to fraction form
    138,155/207,745 = 207,745/x
  3. Step 3: Cross multiply
    138,155x = 207,745 × 207,745
  4. Step 4: Simplify right side
    138,155x = 43,157,985,025
  5. Step 5: Solve for x
    x = 43,157,985,025/138,155
  6. Step 6: Final answer
    x = 312,388.15

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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.