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Finding the Third Proportional to 138,018 and 207,720

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Solution

The third proportional to 138,018 and 207,720 is: 312,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,018 : 207,720 = 207,720 : x
  2. Step 2: Convert to fraction form
    138,018/207,720 = 207,720/x
  3. Step 3: Cross multiply
    138,018x = 207,720 × 207,720
  4. Step 4: Simplify right side
    138,018x = 43,147,598,400
  5. Step 5: Solve for x
    x = 43,147,598,400/138,018
  6. Step 6: Final answer
    x = 312,622.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.