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Finding the Third Proportional to 138,928 and 207,476

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Solution

The third proportional to 138,928 and 207,476 is: 309,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,928 : 207,476 = 207,476 : x
  2. Step 2: Convert to fraction form
    138,928/207,476 = 207,476/x
  3. Step 3: Cross multiply
    138,928x = 207,476 × 207,476
  4. Step 4: Simplify right side
    138,928x = 43,046,290,576
  5. Step 5: Solve for x
    x = 43,046,290,576/138,928
  6. Step 6: Final answer
    x = 309,846.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.