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Finding the Third Proportional to 136,908 and 275,851

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Solution

The third proportional to 136,908 and 275,851 is: 555,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908 : 275,851 = 275,851 : x
  2. Step 2: Convert to fraction form
    136,908/275,851 = 275,851/x
  3. Step 3: Cross multiply
    136,908x = 275,851 × 275,851
  4. Step 4: Simplify right side
    136,908x = 76,093,774,201
  5. Step 5: Solve for x
    x = 76,093,774,201/136,908
  6. Step 6: Final answer
    x = 555,802.25

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.