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Finding the Third Proportional to 123,717 and 275,865

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Solution

The third proportional to 123,717 and 275,865 is: 615,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,717 : 275,865 = 275,865 : x
  2. Step 2: Convert to fraction form
    123,717/275,865 = 275,865/x
  3. Step 3: Cross multiply
    123,717x = 275,865 × 275,865
  4. Step 4: Simplify right side
    123,717x = 76,101,498,225
  5. Step 5: Solve for x
    x = 76,101,498,225/123,717
  6. Step 6: Final answer
    x = 615,125.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.