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Finding the Third Proportional to 70,337 and 149,899

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Solution

The third proportional to 70,337 and 149,899 is: 319,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,337 : 149,899 = 149,899 : x
  2. Step 2: Convert to fraction form
    70,337/149,899 = 149,899/x
  3. Step 3: Cross multiply
    70,337x = 149,899 × 149,899
  4. Step 4: Simplify right side
    70,337x = 22,469,710,201
  5. Step 5: Solve for x
    x = 22,469,710,201/70,337
  6. Step 6: Final answer
    x = 319,457.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.