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Finding the Third Proportional to 153,137 and 245,848

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Solution

The third proportional to 153,137 and 245,848 is: 394,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,137 : 245,848 = 245,848 : x
  2. Step 2: Convert to fraction form
    153,137/245,848 = 245,848/x
  3. Step 3: Cross multiply
    153,137x = 245,848 × 245,848
  4. Step 4: Simplify right side
    153,137x = 60,441,239,104
  5. Step 5: Solve for x
    x = 60,441,239,104/153,137
  6. Step 6: Final answer
    x = 394,687.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.