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Finding the Third Proportional to 138,510 and 207,765

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Solution

The third proportional to 138,510 and 207,765 is: 311,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,510 : 207,765 = 207,765 : x
  2. Step 2: Convert to fraction form
    138,510/207,765 = 207,765/x
  3. Step 3: Cross multiply
    138,510x = 207,765 × 207,765
  4. Step 4: Simplify right side
    138,510x = 43,166,295,225
  5. Step 5: Solve for x
    x = 43,166,295,225/138,510
  6. Step 6: Final answer
    x = 311,647.50

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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.